Learning Objective: 05-03 Use the binomial distribution to compute probabilities.
Topic: Binomial
143.
A large disaster cleaning company estimates that 30% of the jobs it bids on are finished within
the bid time. Looking at a random sample of 8 jobs that is has contracted:
Find the probability that x (number of jobs finished on time) is within one standard deviation of
the mean.
A. .6867
B. .7483
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C. .5506
D. .8844
=
=
=1.3, 2.4±1.3= (1.1,3.7) converts to (2,3) for discrete probability
(.2965)+(.2541)=.5506
AACSB: Analytic
Blooms: Application
Bowerman - Chapter 05 #143
Difficulty: Hard
Learning Objective: 05-03 Use the binomial distribution to compute probabilities.
144.
Topic: Binomial
Suppose that x has a hypergeometric distribution with N = 10, r = 5 and n = 3. Calculate the
mean of the distribution.
Th
A. 0.500
B. 0.333
C. 1.500
D. 3.000
n (r/N) = 3 (5/10) = 1.5
AACSB: Analytic
Blooms: Application
Bowerman - Chapter 05 #144
https://www.coursehero.com/file/15302116/Quiz-143/
Difficulty: Hard
Learning Objective: 05-05 Use the hypergeometric distribution to compute probabilities (Optional).
Topic: Hypergeometric Distribution
145.
Suppose that x has a hypergeometric distribution with N = 10, r = 5 and n = 3. Calculate the
standard deviation of the distribution.
A. 0.583
B. 0.764
C. 1.500
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D. 0.778
n (r/N)(1 - r/N)((N-n)/(N-1)) = 3 (5/10)(.5)(7/9) = .583 (variance) √.583 = .764 std dev
AACSB: Analytic
Blooms: Application
Bowerman - Chapter 05 #145
Difficulty: Hard
Learning Objective: 05-05 Use the hypergeometric distribution to compute probabilities (Optional).
Topic: Hypergeometric Distribution
146.
If in a hypergeometric distribution r is 300, N = 600 and n = 30, estimate the binomial probability
of success.
A. 0.500
B. 0.333
Th
C. 0.083
D. 0.250
r/N = 300/600 = 0.500
AACSB: Analytic
Blooms: Application
Bowerman - Chapter 05 #146
Difficulty: Hard
Learning Objective: 05-05 Use the hypergeometric distribution to compute probabilities (Optional).
Topic: Hypergeometric Distribution
https://www.coursehero.com/file/15302116/Quiz-143/
147.
Suppose you randomly select 3 DVDs from a production run of 10. Of the 10 DVDs, 9 are
expected to last a minimum of 3 years. What is the probability that all 3 of your DVDs will last at
least three years?
0.7
Feedback: P(x=3) = ( 9C3 * 1C0)/10C3 = 84/120 = .7
AACSB: Analytic
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Blooms: Application
Bowerman - Chapter 05 #147
Difficulty: Hard
Learning Objective: 05-05 Use the hypergeometric distribution to compute probabilities (Optional).
Topic: Hypergeometric Distribution
148.
Suppose you randomly select 3 DVDs from a production run of 10. Of the 10 DVDs, 9 are
expected to last a minimum of 3 years. What is the mean of the random variable x?
2.7
Feedback: Mean = n(r/N) = 3(9/10) = 2.7
AACSB: Analytic
Blooms: Application
Th
Bowerman - Chapter 05 #148
https://www.coursehero.com/file/15302116/Quiz-143/
Difficulty: Medium
Learning Objective: 05-05 Use the hypergeometric distribution to compute probabilities (Optional).
Topic: Hypergeometric Distribution
149.
Suppose you randomly select 3 DVDs from a production run of 10. Of the 10 DVDs, 9 are
expected to last a minimum of 3 years. What is the standard deviation of the random variable
x?
0.46
Feedback: S = √ (n*(r/N)(1-(r/N)((N-n)/(N-1)) = √ (2.7 * .1 * .78) = √.21 = .46
AACSB: Analytic
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Blooms: Application
Bowerman - Chapter 05 #149
Difficulty: Medium
Learning Objective: 05-05 Use the hypergeometric distribution to compute probabilities (Optional).
Topic: Hypergeometric Distribution
150.
Suppose you randomly select 3 DVDs from a production run of 10. Of the 10 DVDs, 9 are
expected to last a minimum of 3 years. What values of x are within two standard deviations of
the mean?
2 and 3
Th
Feedback: (2.7 ± 2(.46)) = (2.7 ± .92) = (1.78 3.62)
AACSB: Analytic
Blooms: Application
Bowerman - Chapter 05 #150
Difficulty: Hard
Learning Objective: 05-05 Use the hypergeometric distribution to compute probabilities (Optional).
Topic: Hypergeometric Distribution
https://www.coursehero.com/file/15302116/Quiz-143/
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