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Unformatted text preview: stribution r is 300, N = 600 and n = 150, estimate the binomial probability of success. A. 0.500 B. 0.333 C. 0.083 D. 0.250 1-380 Chapter 01 - An Introduction to Business Statistics Chapter 05 Discrete Random Variables Answer Key True / False Questions 1. The binomial experiment consists of n independent, identical trials, each of which results in either success or failure and is such that the probability of success on any trial is the same. TRUE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Binomial 2. A Poisson random variable is a continuous variable that can be used to describe the number of occurrences of an event over a specified interval of time or space. FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Poisson 1-381 Chapter 01 - An Introduction to Business Statistics 3. A discrete random variable may assume a countable number of outcome values. TRUE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Topic: Discrete Random Variable 4. The variable "home ownership" can take on one of two values, 1 if the person living in a home owns the home and zero if the person living in a home does not own the home is an example of a discrete random variable. TRUE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Topic: Discrete Random Variable 1-382 Chapter 01 - An Introduction to Business Statistics 5. If the number of surface nonconformities on a specific size of a 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 nonconformities is most likely given by the binomial distribution. FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Binomial 6. The mean of the binomial distribution is np(1-p). FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Topic: Binomial 7. In a binomial experiment, the results of one trial are dependent on the results of other trials. FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Topic: Binomial 8. In a binomial distribution the random variable X is continuous. FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Topic: Binomial 1-383 Chapter 01 - An Introduction to Business Statistics 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 AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Medium Topic: Binomial 10. If p = .5 and n = 4, then the corresponding binomial distribution is A. Right skewed B. Left skewed C. Symmetric D. Bimodal AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Medium Topic: Binomial 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 AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Topic: Binomial 1-384 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 AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Topic: Poisson 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 AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Medium Topic: Poisson 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. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Binomial 1-385 Chapter 01 - An Introduction to Business Statistics 15. The number of ways to arrange x successes among n trials is equal to A. B. C. D. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Binomial 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 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Discrete Probability Distribution 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 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Discrete Probability Distribution 1-386 Chapter 01 - An Introduction to Business Statistics 18. Which one of the following statements is not an assumption of the binomial distribution? A. Sampli...
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