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Topic: Poisson 1402 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 threehour
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 1403 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 1404 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 1405 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 oneminute interval?
A. 0
B. .1353
C. .4060
D. .3679 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Poisson 1406 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 1407 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 1408 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 1409 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 EastWest 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.
 Winter '14

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