An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet specifications are 0.95 and 0.98, respectively. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications. O a. P(X=0) 0.931 P(X=1) P(X=2) Ob. None among the choices 0.068 0.001 OC. P(X=0) 0.001 P(X=1) 0.068 P(X=2) 0.931 O d. P(X=0) 0.068 P(X=1) P(X=2) 0.001 0.931

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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An assembly consists of two mechanical components. Suppose that the probabilities that the
first and second components meet specifications are 0.95 and 0.98, respectively. Assume that
the components are independent. Determine the probability mass function of the number of
components in the assembly that meet specifications.
a. P(X=0)
0.931
P(X=1)
0.068
P(X=2)
b. None among the choices
0.001
C. P(X=0)
0.001
P(X=1)
0.068
P(X=2)
0.931
O d. P(X=0)
0.068
P(X=1)
0.001
P(X=2)
0.931
Transcribed Image Text:An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet specifications are 0.95 and 0.98, respectively. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications. a. P(X=0) 0.931 P(X=1) 0.068 P(X=2) b. None among the choices 0.001 C. P(X=0) 0.001 P(X=1) 0.068 P(X=2) 0.931 O d. P(X=0) 0.068 P(X=1) 0.001 P(X=2) 0.931
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