An assembly consists of three mechanical components. Suppose the probabilities that the first, second, and third components meet the specifications are 0.95, 0.98, and 0.99, respectively. Assume that the components are independent. 1) What is the probability that all components in an assembly meet specifications? 2) Determine the probability function of the number of components in the assembly that meet the specifications? x ? ? ? ? pX=x ? ? ? ?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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An assembly consists of three mechanical components. Suppose the probabilities that the first, second, and third components meet the specifications are 0.95, 0.98, and 0.99, respectively. Assume that the components are independent.

1) What is the probability that all components in an assembly meet specifications?


2) Determine the probability function of the number of components in the assembly that meet the specifications?

x ? ? ? ?
pX=x ? ? ? ?

 

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