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Unformatted text preview: Poisson distribution.
What is the probability that during the next minute three cars will arrive?
A. .0758
B. .1255
C. .0126
D. .0613 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Poisson 1410 Chapter 01  An Introduction to Business Statistics 77. 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 Poisson distribution.
What is the probability that during the next five minutes three cars will arrive?
A. .2138
B. .1804
C. .0126
D. .0613 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Poisson 78. For a binomial process, the probability of success is 40% and the number of trials is 5.
Find the expected value.
A. 5.0
B. 1.2
C. 2.0
D. 1.1
E[X] = (5) (.40) = 2 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Binomial 1411 Chapter 01  An Introduction to Business Statistics 79. For a binomial process, the probability of success is 40% and the number of trials is 5.
Find the variance.
A. 5.0
B. 1.2
C. 2.0
D. 1.1 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Binomial 80. For a binomial process, the probability of success is 40% and the number of trials is 5.
Find the standard deviation.
A. 5.0
B. 1.2
C. 2.0
D. 1.1 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Binomial 1412 Chapter 01  An Introduction to Business Statistics 81. For a binomial process, the probability of success is 40% and the number of trials is 5.
Find P(X ≤ 1).
A. .0870
B. .2592
C. .0778
D. .3370
P(X ≤ 1) = [P(X = 0) + P(X = 1)
P(X ≤ 1) = (.0778) + (.2592) = .337 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Binomial 82. For a binomial process, the probability of success is 40% and the number of trials is 5.
Find P(X > 4).
A. .0102
B. .0778
C. .0870
D. .3370
P(X = 5) = (.4)5 = .0102 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Binomial 1413 Chapter 01  An Introduction to Business Statistics 83. For a binomial process, the probability of success is 40% and the number of trials is 5.
Find the P(X = 2).
A. .2304
B. .3456
C. .3072
D. .5760 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Binomial 84. Consider a Poisson distribution with an average of 3 customers per minute at the local
grocery store. Determine the expected number of customer arrivals for a fiveminute period
A. 15
B. 3
C. 243
D. 125 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Easy
Topic: Poisson 1414 Chapter 01  An Introduction to Business Statistics 85. Consider a Poisson distribution with an average of 3 customers per minute at the local
grocery store. If X = the number of arrivals per minute:
Find the expected value of X.
A. 3
B. 9
C. 1.5
D. 1.7 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Easy
Topic: Poisson 86. Consider a Poisson distribution with an average of 3 customers per minute at the local
grocery store:
Consider a Poisson distribution with an average of 3 customers per minute at the local grocery
store. If X = the number of arrivals per minute, find the variance of X.
A. 3
B. 9
C. 1.5
D. 1.7 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Easy
Topic: Poisson 1415 Chapter 01  An Introduction to Business Statistics 87. Consider a Poisson distribution with an average of 3 customers per minute at the local
grocery store:
Consider a Poisson distribution with an average of 3 customers per minute at the local grocery
store. If X = the number of arrivals per minute, find the standard deviation of X.
A. 3
B. 9
C. 1.5
D. 1.7 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Easy
Topic: Poisson 88. Consider a Poisson distribution with an average of 3 customers per minute at the local
grocery store. If X = the number of arrivals per minute:
Find the probability of 10 customers or less arriving within a minute.
A. .9998
B. .9990
C. .0008
D. .0498
P(X ≤ 10) = 1  P(X ≥ 11) = 1  (.0002) = .9998 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Poisson 1416 Chapter 01  An Introduction to Business Statistics 89. Consider a Poisson distribution with an average of 3 customers per minute at the local
grocery store. If X = the number of arrivals per minute:
Find the probability of more than 7 customers arriving within a minute.
A. .0216
B. .0081
C. .0108
D. .0118
P(X ≥ 8) = .0081 + .0027 + .0008 + .0002 = .0118 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Poisson 90. Consider a Poisson distribution with an average of 3 customers per minute at the local
grocery store. If X = the number of arrivals per minute:
Find the probability of 3 customers arriving within a minute.
A. 1.00
B. .1494
C. .224
D. .3734 AACSB: Analytical Studies
Bloom's: Application
Difficulty: Medium
Topic: Poisson 1417 Chapter 01  An Introduction to Business Statistics 91. One die is thrown. What is the expected value of the number of dots on the top face of the
die?
A. 1.0
B. 3.5
C. 4.0
D. 3.0...
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 Winter '14

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