Saturday, October 5, 2019

Database Inventory Computer Sciences Research Paper

Database Inventory Computer Sciences - Research Paper Example The types of interactions can be categorized into four main groups. These are; data maintenance, data definition, data retrieval, as well as data control. So many factors are at play when choosing which type of database system to use when developing a system. The article we look at highlights some of these factors; which will form the basis for the discussion on database systems of this paper. EXPLANATION OF PAPER Database Buyer's Guide Conclusion: Which Database Is Best for You? (2011, October 27). Retrieved March 4, 2012, from Database Journal: http://www.databasejournal.com/features/which-database-is-best-for-you.html This article is a form of guide to be used by customers looking to find the best database to use or to implement a system on; it highlights the pros as well as the cons of the different types of relational database management systems. From the pros and the cons, the customers are able o gauge which relational database management system best suits their needs as well as preferences as far as database management system is concerned. It lists a complete range of database management systems; from web enabled database management systems, desktop DBMSs, cloud DBaaS, and other open source database management options. There are server options as well. ... It then went on to provide a summary of the pros and cons; the advantages and the disadvantages of having or opting for the certain types of the given types of database systems in the market today. The beginning of the article highlights desktop databases and the people who use them. As indicated in the article, this type of databases are mainly popular with small enterprise businesses. This is because they are cheaper than the other types of database systems and are also suitable for the non-interactive, and also the single user batch processes for web applications. The main players in this niche of the databases market are Lotus Approach, FileMaker Pro, and lastly, Microsoft Access. The advantages of these types of database systems is that they are not expensive; they are estimated to cost somewhere in the hundreds of dollars. This is much unlike the other types of database systems which go for as much as thousands of dollars. Additionally, they have graphical user interfaces for e asy interaction with the users. They are also easy to scale in the future; if the need ever arises. As for the cons, they are said to be lacking in security, they do not also work well when users become many; they are easily overloaded and crash under this kind of pressure. Next, the article looks at the pros and cons of server databases. These are the heavy-duty type of servers. These work well with applications like electronic commerce sites. These are multi-user applications. Microsoft and Oracle databases companies mainly sell these types of database systems. They are Oracle databases, and Microsoft SQL Server. The main advantage for this category of databases is that they store a huge chunk of data; as much as millions of terabytes of data. They

Friday, October 4, 2019

Your task is to write a mid-length research paper Essay

Your task is to write a mid-length research paper - Essay Example This essay will analyze fossil fuels from an ethical perspective. In addition, the essay explores how different ethical approaches would handle the topic. The impacts of fossils fuels on the environment are well known. Fossil fuels have been identified as the leading cause of fossil fuels. Despite the availability of alternative sources of energy such as solar, wind, geothermal, and nuclear energy, the question of fossil fuels persist. In addition, the cost of different oil based products and fuels such as gasoline, diesels, and lubricants have increased dramatically. This has resulted from increased cost of production and increasing demand. Despite these drawbacks, more and more wells are being sunk as pipelines to transport the commodity are being built. Moreover, car manufactures have been in full operation in their attempt to meet the demand. Global warming remains the main threat in the modern world. If the predictions on global warming are true, then the world would became inhabitable in the near future. It is our moral obligation to protect the globe as the home for humankind. The responsibilities of governments and policy makers remain as the main ethical issues into the matter. Indeed governments and policy makers are responsible for the well fare of the society. Moreover, government and policy makers should make policies that ensure long-term sustainability of the planet and humanity. This indicates the need to separate politics from environmental issues. In this case, governments and other policy makers are expected to make laws or policies that will ensure the long-term sustainability of the planet. The future of fossil fuels is a controversial issue and, hence the need for a detailed analyses. Ethical concerns on the topic should place the way forward concerning the continued use of fossil fuels. Firstly, the role of fossil fossils in global warming is an issue of concern in the modern

Thursday, October 3, 2019

Finding Forrester Essay Example for Free

Finding Forrester Essay As we all go through life, things may happen during our lives, big or small, that can affect yourself or others in different ways. In Finding Forrester an average sixteen year old boy is going through his life with some obstacles, and he carries them through very well. He is a very intelligent and gifted student that was helped along the way and as well as helping another person on their way too. Jamal Wallace, coming from the playground on the streets, gets accepted to attend Mailor- Callow, not only for his skills on the basketball court, but also for being a gifted student. Jamal loves to write and read books, but never has any serious help in that area. While just going along with his life as the average student, he is very talented on the basketball court-Until he meets an older man by the name of William Forrester. William is a very talented writer who is famous, but hiding from the world. William Forrester is a man hidden from the world just as Jamal’s intellectually gifted ability was. William’s a well-known professional writer, but does not get out or publish books anymore. He stays hidden and away from the world as much as possible; and doesn’t want anybody to know where he lives or that he is still around, as he likes to stay recluse. But Jamal comes along, it all changes slowly but surely. William and Jamal come together by writing when William helps him out at random with a paper and notes of William. So William did help with Jamal’s work and writing under certain circumstances. Jamal is not to let anybody know where Forrester lives or to ask questions about his personal life. They learn a lot from one another from writing and proof reading, yet being two opposite people. Jamal and William grow closer together through time and Jamal talks William into going out with him to a basketball game since he has not been out in so long, but William has an anxiety attack from this. So they leave and Jamal takes him to the Yankee Stadium as a great surprise. After that, William opens up to him, telling him about his life and why he is the way he is today, and all he is gone through that has affected him today. After that, William gives him essays of his own to help Jamal write his own as long as he didn’t use, or take out anything that was Williams work. Jamal ended up breaking the promise that tested their friendship that they have grown to have. A teacher of Jamal’s that he has not got along with through his school year for the teachers arrogance. Mr. Craward studies Jamal’s work hard and found the mistake he had made of taking Williams work and busts Jamal for copying work that could result in Jamal losing his scholarship and everything else he earned. If William did not help him through the situation and say that Jamal had his consent of using his work. William didn’t want anything to do with him or help because of the mistake Jamal made on his own for breaking their promise which was hard for Jamal to do in the first place. Jamal wrote a letter to William that he received the day the time for the charges were going to be against him for stealing work. William ended up taking his side and helping him out in front of everybody which was a task on its own for him. Everybody now knew Jamal and William knew one another and William was now in the open. William thanked Jamal for his friendship because he couldn’t have done this without him. Now he can go live his life like he should have been all because of Jamal. He rekindles his life, and a year later William passes way leaving all his stuff to Jamal for everything he has done for him to go out and live the rest of William’s life. No matter your age or how old you are or where you come up from, you can make changes on peoples life in the best of way just by making that certain friendship.

Basic Laboratory Techniques Dilutions

Basic Laboratory Techniques Dilutions Dilution is a process of making a weaker or a less concentrated solution. Substances which are highly concentrated can be problematic to carry out tests. For instance, when a blood sample is placed on a slide it would be difficult to count cells due to overlapping. As a result dilutions are carried out so that the cells will be more spread. Moreover a large amount of reagent would be needed to react with a highly concentrated substance. This is inadequate since large amounts of reagent would be wasted. In addition it is impractical to use large volumes of substances example buffers. Generally a concentrated form is present and then the necessary dilutions are made for different tests. A manual of how the dilutions are made is typically present with the reagent. Adequate apparatus must be used for dilutions. Basically, there are two types of dilutions. One, where the final specific concentration only is significant and the other where both the final volume and concentration are significant. Dilution symbols are significant. 1/10 refers to 1ml sample with 9mls diluents for a total volume of 10mls. This is the same as 1+9. 1:10 refers to 1ml sample with 10mls diluents for a total volume of 11mls. This is the same as 1+10. Serial dilution is a method used to dilute a substance into solution stepwise with a constant dilution factor in each step. The dilution factor is the volume of stock / total volume. The first step in making a serial dilution is to take a known volume (example 1ml) of stock i.e. the original sample and place it into a known volume of water (example 9ml). This produces 10ml of dilute solution. The dilute solution has 1ml of original sample / 10ml. The technique used to make a single dilution is repeated using the previous dilute solution. At each step, 1ml of the previous dilution is added to 9ml of distilled water. This is repeated sequentially until the required dilution is achieved. The volumes of substances used vary accordingly. During dilutions it is essential to pipette the larger volume first and then the smaller volume. Diagram of how serial dilutions are made: Rule : Original concentration = New concentration Dilution factor Since the dilution-fold is the same in each step, the dilutions are a geometric series i.e a constant ratio. Example: 1/3, 1/9, 1/27, 1/81. Each dilution is a three-fold. A two-fold and a five-fold also exist where it is multiplied by 1/2 and 1/5 respectively. Serial dilutions are principal for several situations. In the lab there are a number of volumetric flasks however there is not a lot of 1000ml flasks. Hence serial dilutions are the only way to get the desired concentration. Serial dilutions are essentially used for calibration curves to ensure the accuracy of the measurements. This is useful since if a minor mistake is done, it is not noticed since the mistake will be repeated in all the dilutions and as a result there will be no effect. Furthermore serial dilutions are used for antibody titres. A test can be quantitative example the concentration of glucose in blood is 6 or qualitative if the test is positive or negative example when testing for the human immunodeficiency virus if it is present in the blood sample, the result is either positive or negative. However there is another test known as the semi-quantitative test where the result is neither numerical nor positive or negative. When serial dilutions are carried out, the resu lt can be that the antibody titre is positive up to 1/320. It shows that the patient is immune up to a certain limit. This is often used to monitor treatment. Six test-tubes were placed in a rack. To the first tube 500Â µl of water were added. To each of the remaining tubes 100Â µl of water were added. 20Â µl of solution B were added were transferred to tube 1 and mixed well. 100Â µl of tube one were transferred to tube 2 and mixed well. 100Â µl of the contents of tube 2 were transferred to tube 3, and the procedure was repeated for the remaining tubes. The dilution of the serum in tube 6 is 1/832 since the dilution of tube 1 is 20/520 = 1/26. The dilutions are 2-fold. As a result 1/26 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = 1/832

Wednesday, October 2, 2019

Cross-cultural Experiences :: Personal Narrative Essays

Cross-cultural Experiences Question Answered: Present the ways in which cross-cultural experiences strengthen a continuous development of the world environment. Cross-cultural experiences can be defined in several ways. Some view these experiences as a way to interact with individuals who are diverse, often experiencing things unfathomable in relation to one's own life. Some view these experiences as an opportunity to strengthen world relations, promoting the idea of peace and worldwide togetherness. Also, some would say that cross-culture is a way to understand people of all races and circumstances, lowering the threat of war and misunderstandings. I believe that cross-culture envelops all of these ideas. It is an extreme responsibility that should never be taken lightly. It is a chance to share the American culture with others, often learning more about a foreign place in the process. Regardless, cross-cultural experiences are very significant and wonderful. They enrich the lives of those who participate by offering experience, knowledge, patience, and an understanding into one's own culture, as well as into that of those who share this be autiful world with us. Cross-cultural experiences allow the partaker to "walk a mile in someone else's shoes." This old adage is quite relevant when addressed to the experience of learning in another surrounding. One gets to encounter how another person lives his or her life. They get to taste the different cuisine, enjoy music, and interact with citizens who are dissimilar. By doing this, the individual is seeing what life is like in another atmosphere. They are becoming aware of the different plights and jubilant exercises someone across the globe views as normal. For instance, if someone from a relatively peaceful country visits a warlike realm, they will understand and see "firsthand" the variation of the two atmospheres. When focusing on the situation, it is easier to clarify why certain individuals behave in a different way. These experiences also teach one about oneself. It offers the chance to promote the great country from which one came. Often, America is stereotyped for all types of ideals, such as baseball and apple pie. However, once entered into a new culture, one can adequately portray America for the diverse melting pot and land of opportunity for all races that it indeed is. Cross-culture is a shared mutual respect for the world in which we live. It offers strong ties to other countries, while promoting the greatness of the red, white, and blue.

Tuesday, October 1, 2019

Drinking Alcohol Causes Sexual Assault Essay -- Expository Cause Effec

Drinking Alcohol Causes Sexual Assault There is a definite correlation between alcohol and sexual assault. A sexual assault can be defined as a sexual act occurring without verbal consent, or when force is used in a sexual encounter against the other person's will. Of all the men who admit to committing sexual assault, 55% report being under the influence of alcohol at the time, with 26% of the men being drunk (Stanford University, 1999). Of all the women who report being sexually assaulted, 53% of them report being under the influence of alcohol, with 21% of these women being drunk (Stanford University, 1999). These facts suggest that alcohol is a major factor in sexual assaults. Crimes such as these could be greatly reduced if alcohol was not in the picture. Unfortunately, there are many sexual assaults, or rapes, per year. According to the Affirmative Action Office at Iowa State University, there have been at least two reported rapes per weekend since classes have begun this year. Throughout the United States in 1996, there were 98,000 completed rapes, and 219,000 attempted rapes (Stanford University, 1999). Most of these assaults were upon women. In fact, women were ten times more likely than men to become victims of rape or sexual assault in 1996, a reality that still holds true (Stanford University, 1999). The number of sexual assaults upon men is so minor that statistics are rarely given. Alcohol plays a major factor in many sexual assault and rape cases. There are many reasons for why alcohol is such a clear component of sexual assault. The first reason that many assaults involve alcohol is that it has severe effects on the human body. The effects of alcohol on a man and woman are different. When a man co... ...xual assault, act responsibly around alcohol, or steer clear of it completely Works Cited Abbey, Antonia. "Acquaintance Rape and Alcohol Consumption on College Campuses." Journal of American College Health. Vol. 39, January 1991. http://www2.bitstream.net/~alpropes/resc/al Alcohol and Acquaintance Rape: Strategies to Protect Yourself and Each Other. The Higher Education Center for Alcohol and Other Drug Prevention Center. 1995. http://www.edc.org/hec. Alcohol Impairment Chart. The National Clearing house for Alcohol and Drug Information. Oct. 1998. http://www.health.org/pubs/qdocs/alcohol-bad-chrt.htm Rohypnol Facts- The "Date Rape Drug." Midland Police Service. 4 March 1999. http://www.police.midland.on.ca/rohypnol.html The Relationship Between Alcohol and Sexual Assault. Stanford University. 1999 http://www.stanford.edu/group/bbeam/alcohol

2nd Midterm Sample Exam

Sample Term Test 2A 1. A variable X has a distribution which is described by the density curve shown below: What proportion of values of X fall between 1 and 6? (A) 0. 550 (B) 0. 575 (C) 0. 600 (D) 0. 625 (E) 0. 650 2. Which of the following statements about a normal distribution is true? (A) The value of  µ must always be positive. (B) The value of ? must always be positive. (C) The shape of a normal distribution depends on the value of  µ. (D) The possible values of a standard normal variable range from ? 3. 49 to 3. 49. (E) The area under a normal curve depends on the value of ?. 3.The values in parentheses are the probabilities of each team winning their respective game. Game Game Game Game Game 1: 2: 3: 4: 5: Finland (0. 43) USA (0. 28) Japan (0. 11) Denmark (0. 33) France (0. 18) vs. vs. vs. vs. vs. Germany (0. 57) Switzerland (0. 72) Canada (0. 89) Sweden (0. 67) Scotland (0. 82) 20. The outcome of interest is the set of winners of the ? ve games. How many outcomes are con tained in the sample space? (A) 5 (B) 10 (C) 25 (D) 32 (E) 64 21. In a sports game, the â€Å"favourite† is the team with the higher probability of winning and the â€Å"underdog† is the team who is less likely to win.What is the probability that at least one underdog wins? (A) 0. 93 (B) 0. 74 (C) 0. 80 (D) 0. 67 (E) 0. 59 22. A recently married couple plans to have two children. The outcome of interest is the gender of each of the two children. Consider the event that exactly one of the couple’s children will be a boy. Which of the following is the complement of this event? (A) two boys (B) two girls (C) one girl (D) at least one girl (E) zero or two girls 23. A manufacturer of automobile batteries claims that the distribution of battery lifetimes has a mean of 54 months and a variance of 36 months squared.Suppose a consumer group decides to check the claim by purchasing a sample of 50 of these batteries and subjecting them to tests to determine their lifetime. Assuming the manufacturer’s claim is true, what is the probability that the sample has a mean lifetime less than 52 months? (A) 0. 1292 (B) 0. 3707 (C) 0. 0091 (D) 0. 4909 (E) 0. 3483 24. A recycling plant compresses aluminum cans into bales. The weights of the bales are known to follow a normal distribution with standard deviation eight pounds. In a random sample of 64 bales, what is the probability that the sample mean di? ers from the population mean by no more than one pound? A) 0. 3413 (B) 0. 4772 (C) 0. 6826 (D) 0. 9544 (E) 0. 1587 25. The monthly mortgage payment for recent home buyers in Winnipeg has a mean of $732, and a standard deviation of $421. A random sample of 125 recent home buyers is selected. The approximate probability that their average monthly mortgage payment will be more than $782 is: (A) 0. 9082 (B) 0. 4522 (C) 0. 4082 (D) 0. 0478 (E) 0. 0918 26. Weights of pears in an orchard follow a normal distribution with mean 195 grams and standard deviation 40 grams.A random sample of ? ve pears is selected. What is the probability that the total weight of the pears is greater than one kilogram (i. . , 1,000 grams)? (A) 0. 2795 (B) 0. 3897 (C) 0. 2451 (D) 0. 3264 (E) 0. 4129 27. The fact that the sample mean does not tend to over- or underestimate the population mean makes the sample mean: (A) resistant. (B) unbiased. (C) e? cient. (D) a statistic. (E) a parameter. 28. A random variable X follows a uniform distribution with mean 3 and standard deviation 1. 73. We take a random sample of size 100 from this distribution and calculate the sample mean X. The sampling distribution of X is: (A) approximately normal with mean 3 and standard deviation 0. 173. B) uniform with mean 3 and standard deviation 1. 73. (C) approximately normal with mean 3 and standard deviation 0. 0173. (D) uniform with mean 3 and standard deviation 0. 173. (E) approximately normal with mean 3 and standard deviation 1. 73. 29. The sampling distribution of a statistic is : (A) the density function of the population from which the sample was selected. (B) the distribution of values taken by the statistic in all possible samples of the same size from the same population. (C) the distribution of the population from which the sample is drawn. D) approximately normally distributed if the sample is large enough, regardless of the shape of the population from which the sample is drawn.(E) all of the above. 30. Which of the following variables has a binomial distribution? (I) You repeatedly roll a fair die. X = number of rolls needed to observe the number 6 for the third time. (II) Tim Hortons is holding its annual â€Å"Roll Up the Rim to Win† promotion. Customers can check under the rim of a co? ee cup to see if they have won a prize. You buy one cup of co? ee from Tim Hortons each day for a week. X = number of times you win a prize during the week. III) A quality control inspector in a factory routinely examines samples of ? ber-optic cable being produced to check for defects. The inspector examines a 100-foot length of cable. X = number of defects found on the cable. (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III 31. There are four patients on the neo-natal ward of a local hospital who are monitored by two sta? members. Suppose the probability (at any one time) of a patient requiring attention by a sta? member is 0. 3. Assuming the patients behave independently, what is the probability at any one time that there will not be su? cient sta? o attend to all patients who need them? (A) 0. 0756 (B) 0. 1104 (C) 0. 0837 (D) 0. 0463 (E) 0. 2646 The next two questions (32 and 33) refer to the following: According to the Canadian Blood Services website, 9% of Canadians have type B blood. 32. If a sample of 8 donors is selected, what is the probability that less than two of them will have type B blood? (A) 0. 8424 (B) 0. 9711 (C) 0. 3721 (D) 0. 4703 (E) 0. 1576 33. Suppose we select a random sample of 175 blood donors and calculate the proportion p ? of individuals with type B blood. The standard deviation of p is: ? (A) 0. 0216 (B) 0. 0358 (C) 0. 0417 (D) 0. 0598 (E) 0. 0647The next two questions (34 and 35) refer to the following: It is known that 53% of students at a large university are female and 47% are male. 34. If we take a random sample of 12 students at the university, what is the probability that exactly seven of them are female? (A) 0. 1734 (B) 0. 1834 (C) 0. 1934 (D) 0. 2034 (E) 0. 2134 35. If we take a random sample of 200 students at the university, what is the approximate probability that less than half of them are male? (A) 0. 7291 (B) 0. 8023 (C) 0. 7852 (D) 0. 8508 (E) 0. 7517 Sample Term Test 2B 1. A random variable X is described by the density curve shown below: The probability of P (3 ?X ? 6) is equal to: (A) 0. 55 (B) 0. 45 (C) 0. 375 (D) 0. 40 (E) 0. 60 2. A random variable X follows a uniform distribution on the interval from 10 to 15. What proportion of values of X are greater than 13. 2? (A) 0. 18 (B) 0. 88 (C) 0. 36 (D) 0. 12 (E) 0. 28 3. Which of the following statements about a normal distribution is true? (A) The mean of a normal distribution must always be greater than zero. (B) For a standard normal distribution, P (Z < z) = P (Z > ? z) for any value z. (C) The height of a normal density curve must always be equal to one. (D) All values must fall within three standard deviations of the mean. E) The standard deviation of a normal distribution must always be greater than one. 4. A variable X follows a normal distribution with mean 10 and standard deviation 5. Another variable Y follows a normal distribution with mean 25 and standard deviation the 10. The maximum height of the density curve for X is (i) maximum height for the density curve for Y, and the area under the density curve for X is (ii) the area under the density curve for Y. (A) (i) greater than, (ii) less than (B) (i) less than, (ii) greater than (C) (i) equa l to, (ii) equal to (D) (i) greater than, (ii) equal to (E) (i) less than, (ii) less than 5.Weights of apples grown in an orchard are known to follow a normal distribution with mean 160 grams. It is known that approximately 99. 7% of apples have weights between 124 and 196 grams. What is the standard deviation of weights of all apples grown in the orchard? (A) 9 grams (B) 12 grams (C) 18 grams (D) 24 grams (E) 36 grams 6. A variable Z has a standard normal distribution. What is the value b such that P (b ? Z ? 0. 36) = 0. 2470? (A) ? 1. 22 (B) ? 0. 68 (C) ? 0. 27 (D) ? 0. 39 (E) ? 0. 55 The next two questions (7 to 8) refer to the following: Percentage grades in a large geography class follow a normal distribution with mean 67. and standard deviation 12. 5. 7. What proportion of students in the class receive percentage grades between 60 and 70? (A) 0. 2650 (B) 0. 2750 (C) 0. 2850 (D) 0. 2950 (E) 0. 3050 8. The professor decides to assign a grade of A+ to the students with the top 8% of the grades, and a grade of A to the next best 12%. What is the minimum percentage a student needs to earn a grade of A? (A) 77 (B) 78 (C) 79 (D) 80 (E) 81 9. The contents of bottles of water follow a normal distribution with mean  µ and standard deviation 4 ml. What proportion of bottles have ? ll volumes within 1 ml of the mean? (A) 0. 1974 (B) 0. 987 (C) 0. 6826 (D) 0. 4013 (E) unable to calculate without the value of  µ 10. A candy company manufactures hard candies in ? ve di? erent ? avours, according to the following probability distribution, where k is some constant: Cherry Root Beer Flavour Probability 0. 21 k Strawberry Orange Peppermint 0. 27 k 0. 14 If you select a candy at random, what is the probability that it will be fruit-? avoured? (A) 0. 48 (B) 0. 67 (C) 0. 68 (D) 0. 72 (E) 0. 86 11. Event A has probability of 0. 4 to occur and Event B has a probability of 0. 5 to occur. Their union (A or B) has a probability of 0. 7 to occur.Then: (A) A and B are mutually e xclusive. (B) A and B are not mutually exclusive. (C) A and B are independent. (D) A and B are dependent. (E) both (B) and (C). 12. You have two unfair coins. On any given ? ip, the ? rst coin has a 40% chance of landing on Heads and the second coin has a 25% chance of landing on Heads. If you ? ip both coins, what is the probability that at least one of them lands on Heads? (A) 0. 10 (B) 0. 45 (C) 0. 55 (D) 0. 65 (E) 0. 90 13. A fair six-sided die will be rolled. De? ne A to be the event that an even number is rolled and de? ne B to be the event that a prime number is rolled.Which of the following events is the intersection of A and B? (A) {2} (B) {2, 3, 5} (C) {2, 3, 4, 5, 6} (D) {3, 5} (E) {1, 2, 3, 4, 5, 6} 14. Suppose it is known that 61% of Winnipeg adults read the Winnipeg Free Press, 29% read the Winnipeg Sun and 18% read both newspapers. What is the probability that a randomly selected adult in Winnipeg reads only one of the two papers (but not both)? Hint: Draw a Venn diag ram. (A) 0. 54 (B) 0. 50 (C) 0. 45 (D) 0. 72 (E) 0. 47 The next two questions (15 and 16) refer to the following: A hockey players compiles the following facts: †¢ Her team wins (W) 60% of their games. She scores a goal (G) in 30% of her games. †¢ She gets a penalty (P) in 40% of her games. †¢ In 38% of her games, her team wins and she scores a goal. †¢ In 24% of her games, her team wins and she gets a penalty. †¢ in 15% of her games, she scores a goal and gets a penalty. 15. In any given game, what is the probability that the player scores a goal or gets a penalty? (A) 0. 85 (B) 0. 55 (C) 0. 70 (D) 0. 65 (E) 0. 58 16. Which of the following statements is true? (A) W and G are independent. (B) G and P are mutually exclusive (disjoint). (C) W and P are independent. (D) W and G are mutually exclusive (disjoint). (E) G and P are independent. 7. Weights of oranges sold at a supermarket follow a normal distribution with mean 0. 22 pounds and standard deviation 0. 04 pounds. If you randomly select four oranges, what is the probability that their total weight is less than 1 pound? (A) 0. 9719 (B) 0. 8508 (C) 0. 9332 (D) 0. 7967 (E) 0. 8340 The next two questions (18 and 19) refer to the following: The time X taken by a cashier in a grocery store express lane follows a normal distribution with mean 90 seconds and standard deviation 20 seconds. 18. What is the ? rst quartile (Q1) of the distribution of X? (A) 73. 8 seconds (B) 85. 0 seconds (C) 69. 4 seconds (D) 81. seconds (E) 76. 6 seconds 19. What is the probability that the average service time for the next three customers is between 80 and 100 seconds? (Assume the next three customers can be considered a simple random sample. ) (A) 0. 6156 (B) 0. 4893 (C) 0. 7212 (D) 0. 5559 (E) impossible to calculate with the information given The next two questions (20 and 21) refer to the following: The amount X spent (in $) by customers in the grocery store express lane follow some right-skewed distri bution with mean $24 and standard deviation $15. 20. What is the probability that the average amount spent by the next three customers is more than $20? Assume the next three customers can be considered a simple random sample. ) (A) 0. 4619 (B) 0. 6772 (C) 0. 8186 (D) 0. 7673 (E) impossible to calculate with the information given 21. What is the probability that the next 40 customers spend less than $1,000 in total? (Assume the next 40 customers can be considered a simple random sample). (A) 0. 5199 (B) 0. 6064 (C) 0. 6628 (D) 0. 5784 (E) 0. 6331 22.The distribution of weights of chocolate bars produced by a certain machine is normal with mean 253 grams and standard deviation 3 grams. A sample of ? ve of these chocolate bars is selected. There is only a 2. % chance that the average weight of the sample will be below: (A) 250. 37 grams. (B) 254. 10 grams. (C) 252. 63 grams. (D) 251. 54 grams. (E) 249. 82 grams. The next two questions (23 and 24) refer to the following: A bimodal prob ability distribution is one with two distinct peaks. A random variable X follows a bimodal distribution with mean 15 and standard deviation 4, as shown below: 23. Suppose that you take a random sample of 10,000 observations from the population above and make a histogram. You expect the histogram to be: (A) approximately normal with mean close to 15 and standard deviation close to 0. 004. (B) bimodal with mean close to 15 and standard deviation close to 0. 04. (C) approximately normal with mean close to 15 and standard deviation close to 0. 04. (D) bimodal with mean close to 15 and standard deviation close to 4. (E) approximately normal with mean close to 15 and standard deviation close to 4. 24. Suppose that you take 10,000 random samples of 10,000 observations from the population above and that for each sample, the mean x is calculated. A histogram of resulting x’s ? ? would be:(A) approximately normal with mean close to 15 and standard deviation close to 0. 0004. B) bimodal with mean close to 15 and standard deviation close to 0. 04. (C) approximately normal with mean close to 15 and standard deviation close to 0. 04. (D) bimodal with mean close to 15 and standard deviation close to 4. (E) approximately normal with mean close to 15 and standard deviation close to 4. 25. The Central Limit Theorem states that: ? (A) when n gets large, the standard deviation of the sample mean X gets closer and v closer to ? / n. (B) regardless of the population distribution of a random variable X, when n gets large, ? the sampling distribution of X is approximately normal. C) if a random variable X follows a normal distribution, then when n gets large, the ? sampling distribution of X is exactly normal. ? (D) when n gets large, the sample mean X gets closer and closer to the population mean  µ. ? (E) when n gets large, the sample mean X becomes an unbiased estimator of the population mean  µ. 26. Which of the following variables has a binomial distribution? (A) You roll ? ve fair dice, each with face values of 1 through 6. X = total number of dots facing up on the ? ve dice. (B) An airplane carrying 100 passengers has two emergency exits, one at the front of the plane and one at the back.The airplane makes an emergency landing. X = number of people who leave the plane through the front exit. (C) A paper boy delivers the newspaper to every house on your block. X = number of houses that get their newspaper on time tomorrow morning. (D) You repeatedly ? ip two quarters simultaneously until both quarters land on Heads. X = number of ? ips required for both quarters to land on Heads. (E) A student randomly guesses the answer to each of the 40 multiple choice questions on this exam. X = number of multiple choice questions the student gets correct. 27. The probability that a certain machine will produce a defective item is 1/4.If a random sample of six items is taken from the output of this machine, what is the probability that there will be at least ? ve defectives in the sample? (A) 1 4096 (B) 3 4096 (C) 4 4096 (D) 18 4096 (E) 19 4096 28. Event A occurs with probability 0. 12. Event B occurs with probability 0. 88. If A and B are mutually exclusive (disjoint) events, then (A) P(A and B) = 0. 11 (B) P(A and B) = 0. 00 (C) P(A or B) = 1. 00 (D) P(A or B) = 0. 11 (E) both (B) and (C) are correct 29. A random variable X follows a binomial distribution with parameters n and p. If the mean and the variance of X are 3. 6 and 2. 2 respectively, then the values of the parameters n and p are, respectively: (A) 6 and 0. 6. (B) 18 and 0. 2. (C) 24 and 0. 15. (D) 12 and 0. 3. (E) 12 and 0. 4. 30. A student driving to university must pass through seven sets of tra? c lights. Suppose it is known that each set of tra? c lights are red 35% of the time and that all lights function independently. What is the probability that the student will have to stop at two or more sets of lights on her to university? (A) 0. 6828 (B) 0. 2985 (C) 0. 4893 (D) 0. 7662 (E) 0. 5997 The next three questions (31 and 33) refer to the following: We have a small deck of ten cards.Five of the cards are red, three are blue and two are green. We randomly select four cards from the deck with replacement. That is, after we select a card and record the colour, we put the card back in the deck and thoroughly shu? e them before we select another card. 31. Let X be the number of blue cards that are selected. The distribution of X is: (A) binomial with parameters n = 4 and p = 0. 1. (B) binomial with parameters n = 10 and p = 0. 3. (C) binomial with parameters n = 10 and p = 0. 4. (D) binomial with parameters n = 4 and p = 0. 3. (E) normal with parameters  µ = 1. 2 and ? = 0. 92. 32. Let A be the event that the ? st selected card is the only red card in our four selections. Which of the following events is mutually exclusive (disjoint) from the event A? (A) Second card selected is blue. (B) No green cards are selected. (C) Third selected card is the on ly green. (D) Same number of red and blue cards are selected. (E) Same number of blue and green cards are selected. 33. What is the probability that the ? rst two selected cards are the same colour? (A) 0. 38 (B) 0. 25 (C) 0. 29 (D) 0. 33 (E) 0. 41 The next two questions (34 and 35) refer to the following: Suppose it is known that 8% of males are colour blind. 4. In a random sample of 20 males, what is the probability that exactly 3 of them are colour blind? (A) 0. 1212 (B) 0. 1313 (C) 0. 1414 (D) 0. 1515 (E) 0. 1616 35. In a random sample of 500 males, what is the approximate probability that at least 10% of them are colour blind? (A) 0. 03 (B) 0. 04 (C) 0. 05 (D) 0. 06 (E) 0. 07 Answers Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 Term Test 2A A B A A B B B A B E A E C E B D C B D D C E C C E B B A D B C A A E B Term Test 2B A C B D B C E B A B E C A A B C C E A E C A D C B E E E D D D E A C C