Practice QUIZ ON Discrete Probability Distribution PDF

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Practice Discrete Probability Distribution ( Statistic of Business )...

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PRACTICE QUIZ ON DISCRETE PROBABILITY DISTRIBUTION (13th Nov 2021)

1. The probability that a rental car will be stolen is 0.0004. If 3500 cars are rented, what is the approximate Poisson probability that 2 or fewer will be stolen? a. .5918 b. .3452 c. .2417 d. .8335 2. The expected value of a random variable is its mean. A. ĐÚNG B. SAI 3. The number of people injured in rafting expeditions on the Colorado River on a randomly chosen Thursday in August is best described by which model? a. Binomial b. Hypergeometric c. Poisson d. Geometric 4. The expected value of a random variable X is 10 and the standard deviation is 2. The standard deviation of the random variable Y = 2X - 10 is: a. -10 b. -6 c. 4 d. 2 5. Which model best describes the number of births in a hospital until the first twins are delivered? a. Geometric b. Hypergeometric

c. Binomial d. Poisson

6. The Poisson distribution has only one parameter. a. Đúng b. Sai 7. When you send out a resume, the probability of being called for an interview is . 20. What is the probability that the first interview occurs on the fourth resume that you send out? a. .0016 b. .4096 c. .2410 d. .1024 8. The domain of X in a Poisson probability distribution is discrete and can include: a. any integer X value. b. any real X value. c. any nonnegative integer X value. d. any X value except zero. 9. If the probability of success is .30, what is the probability of obtaining the first success within the first five trials? a. .1681 b. .8319 c. .0024 d. .9976

10. Which model would you use to describe the probability that a call-center operator will make the first sale on the third call, assuming a constant probability of making a sale? a. Binomial b. Geometric c. Hypergeometric d. Poisson

11. The hypergeometric distribution assumes that the probability of a success remains the same from one trial to the next. a. Đúng b. Sai

12. For which binomial distribution would a Poisson approximation not be acceptable? a. n = 50, π = 0.03 b. n = 35, π = 0.07 c. n = 80, π = 0.02 d. n = 95, π = 0.01 13. The expected value of a discrete random variable E(X) is the sum of all X values weighted by their respective probabilities. a. Đúng b. Sai 14. The probability that a visitor to an animal shelter will adopt a dog is .20. Out of nine visits, what is the probability that at least one dog will be adopted? a. .5639 b. .1342 c. .8658 d. .3020 15. A carnival has a game of chance: a fair coin is tossed. If it lands heads you win $1.00, and if it lands tails you lose $0.50. How much should a ticket to play this game cost if the carnival wants to break even? a. $1.00 b. $0.50

c. $0.25 d. $0.75 16. If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight automobiles, at least seven will have both headlights working? a. .8131 b. .1869 c. .3826 d. .6174 17. When you send out a resume, the probability of being called for an interview is . 20. What is the probability that you get your first interview within the first five resumes that you send out? a. .2410 b. .0016 c. .1024 d. .6723

18. If 5 percent of automobiles in Oakland County have one burned-out headlight, what is the probability that, in a sample of 10 automobiles, none will have a burned-out headlight? a. .1872 b. .3151 c. .0116 d. .5987

19. Ten percent of the corporate managers at Axolotl Industries majored in humanities. If you start interviewing Axolotl managers, what is the probability that the first humanities major is the fifth manager that you interview? a. .5904 b. .8561 c. .0656 d. .4095

20. The coefficient of variation for a Poisson distribution with λ = 4 is: a. 50.0 percent. b. 58.9 percent. c. 35.2 percent. d. 26.4 percent....