The binomial experiment consists of n independent

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Unformatted text preview: experiment, the results of one trial are dependent on the results of other trials. True False 8. In a binomial distribution the random variable X is continuous. True False Multiple Choice Questions 9. If p = .1 and n = 5, then the corresponding binomial distribution is A. Right skewed B. Left skewed C. Symmetric D. Bimodal 10. If p = .5 and n = 4, then the corresponding binomial distribution is A. Right skewed B. Left skewed C. Symmetric D. Bimodal 11. The requirement that the probability of success remains constant from trial to trial is a property of the _________________ distribution. A. Binomial B. Uniform C. Normal D. Poisson 1-351 Chapter 01 - An Introduction to Business Statistics 12. If the number of surface nonconformities on a specific size of metal piece is the discrete random variable in question, then the appropriate probability distribution that can describe the probability of a specific size metal sheet containing 3 defectives is given most likely by ___________________ distribution. A. Binomial B. Poisson C. Hypergeometric D. Both A and B 13. Which of the following distributions can be used to solve the following problem? The average number of cars arriving at a drive-thru fast food restaurant is 3 in ten minutes, what is the probability that exactly 4 cars will arrive in a five minute interval? A. Binomial B. Poisson C. Both of the above D. None of the above 14. The mean of the binomial distribution is equal to: A. p B. np C. px (1-p)n-x D. (n) (p) (1-p) E. 15. The number of ways to arrange x successes among n trials is equal to A. B. C. D. 1-352 Chapter 01 - An Introduction to Business Statistics 16. Which of the following is a valid probability value for a discrete random variable? A. .2 B. 1.01 C. -.7 D. All of the above 17. A total of 50 raffle tickets are sold for a contest to win a car. If you purchase one ticket, what are your odds against winning? A. 49 to 1 B. 50 to 1 C. .05 D. .01 18. Which one of the following statements is not an assumption of the binomial distribution? A. Sampling is with replacement. B. The experiment consists of n identical trials. C. The probability of success remains constant from trial to trial. D. Trials are independent of each other. E. Each trial results in one of two mutually exclusive outcomes. 19. The binomial distribution is characterized by situations that are analogous to A. Drawing balls from and urn. B. Coin tossing. C. Counting defects on an item. D. Measuring the length of an item. 20. A random variable is said to be discrete if A. Its outcomes are countable B. It can assume any real number within a given interval C. The rules of probability apply D. It can be represented graphically 1-353 Chapter 01 - An Introduction to Business Statistics 21. Two characteristics/assumptions of the Poisson distribution include: A. Probability of success remains constant from trial to trial and the random variable of interest is continuous. B. The event occurring in one interval is independent of the event occurring in any other nonoverlapping interval, and the random variable of interest is continuous. C. The event occurring in one interval is independent of the event occurring in any other nonoverlapping interval, and the random variable of interest is discrete. D. The event occurring in one interval is dependent of the event occurring in any other nonoverlapping interval, and the random variable of interest is continuous. 22. The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. Find the probability that exactly 4 bankruptcies occur next month. A. .8774 B. .1414 C. .1557 D. .2176 23. The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. Find the probability that more than 1 bankruptcy occur next month. A. .1931 B. .9257 C. .7326 D. .4816 E. .2674 1-354 Chapter 01 - An Introduction to Business Statistics 24. The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. Find the probability that no more than one bankruptcy occurs next month. A. .1931 B. .9257 C. .7326 D. .4816 E. .2674 25. A fair die is rolled 10 times. What is the probability that an odd number (1, 3, or 5) will occur less than 3 times? A. .0547 B. .1172 C. .1550 D. .7752 E. .8450 26. A fair die is rolled 10 times. What is the probability that an even number (2, 4, or 6) will occur between 2 and 4 times? A. .6123 B. .1709 C. .1611 D. .3662 E. .3223 27. A fair die is rolled 10 times. What is the average number of even number outcomes? A. 3 B. 4 C. 5 D. 6 E. 7 1-355 Chapter 01 - An Introduction to Business Statistics 28. A fair die is rolled 36 times. What is the standard deviation of the even number (2, 4, or 6) outcomes? A. 18 B. 9 C. 5 D. 3 E. 1.732 29. Whenever p = .5, the binomial distribution will _________ be symmetric. A. Always B. Sometimes C. Never 30. Whi...
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