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Unformatted text preview: Difficulty: Medium Topic: Poisson 1-402 Chapter 01 - An Introduction to Business Statistics 61. Historical data shows that the average number of patient arrivals at the intensive care unit of General Hospital is 3 patients every 2 hours. Assume that the patient arrivals are distributed according to Poisson distribution. Determine the probability of at least 4 but no more than 8 patients arriving in a three-hour period. A. .3813 B. .5711 C. .4276 D. .7861 E. .6174 P(4 ≤ X ≤ 8) = P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) P(4 ≤ X ≤ 8) = (.0463) + (.0824) + (.1281) + (.1708) + (.1898) = .6174 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Poisson 62. If the probability distribution of X is: What is the expected value of X? A. 1.0 B. 5.0 C. 2.25 D. 2.24 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Discrete Probability Distribution 1-403 Chapter 01 - An Introduction to Business Statistics 63. If the probability distribution of X is: What is the variance of X? A. 1.0 B. 5.0 C. 2.25 D. 2.24 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Discrete Probability Distribution 64. Assume the number of trucks passing an intersection has a Poisson distribution with mean of 5 trucks per minute. What is the probability of 0 or 1 trucks in one minute? A. .0404 B. .0337 C. .0842 D. .0067 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Poisson 1-404 Chapter 01 - An Introduction to Business Statistics 65. A vaccine is 95 percent effective. What is the probability that it is not effective for: One and only one individual out of 20 individuals? A. .0179 B. .3585 C. .0189 D. .3774 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Binomial 66. A vaccine is 95 percent effective. What is the probability that it is not effective for: More than one out of 20 individuals? A. .7359 B. .3585 C. .2641 D. .3774 P(X ≥ 2) = 1 - [P(X = 0) + p(X = 1)] P(X ≥ 2) = 1 - [(.3585) + (.3774)] = .2641 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Binomial 1-405 Chapter 01 - An Introduction to Business Statistics 67. If the probability of a success on a single trial is .2, what is the probability of obtaining 3 successes in 10 trials if the number of successes is binomial? A. .0031 B. .5033 C. .1074 D. .2013 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Binomial 68. The number of calls coming into a PBX follows a Poisson process with a mean of 120 calls per hour. What is the probability of no calls in a one-minute interval? A. 0 B. .1353 C. .4060 D. .3679 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Poisson 1-406 Chapter 01 - An Introduction to Business Statistics 69. If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than 6? A. .9329 B. .7797 C. .8698 D. .0002 P(X ≥ 7) = 1 - P(X ≤ 6) = 1 - (.1302) = .8698 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Poisson 70. Three candidates run for different offices in different counties. Each has a one in three chance of being elected in his/her county. What is the probability that at least one of them will be elected? A. .2963 B. .7037 C. .33 D. .667 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Discrete Probability Distribution 1-407 Chapter 01 - An Introduction to Business Statistics 71. A test has 6 multiple choice questions, each with 4 alternatives. What is the probability of guessing 5 or more questions correctly? A. .5340 B. .4660 C. .9954 D. .0046 P(X ≥ 5) = P(X = 5) + P(X = 6) P(X ≥ 5) = (.0044) + (.0002) = .0046 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Discrete Probability Distribution 72. If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than or equal to 2? A. .9972 B. .0028 C. .9995 D. .0005 P(X ≥ 2) = 1 - [P(X = 0) + P(X = 1)] P(X ≥ 2) = 1 - (0 + .0005) = .9995 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Poisson 1-408 Chapter 01 - An Introduction to Business Statistics 73. If x is a Poisson random variable with a mean of 10, what is the probability that x is equal to 8? A. .1126 B. .1251 C. .2677 D. .0993 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Poisson 74. Twenty coins are tossed. What is the probability of getting exactly 10 heads? A. .3364 B. .1602 C. .5000 D. .1762 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Binomial 1-409 Chapter 01 - An Introduction to Business Statistics 75. Determine the probability that a 3 will appear twice, if a fair die is rolled 10 times. A. .5010 B. .2907 C. .2318 D. .0065 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Binomial 76. During off hours, cars arrive at a tollbooth on the East-West toll road at an average rate of 0.5 cars per minute. The arrivals are distributed according to the...
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This document was uploaded on 01/20/2014.

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