Question

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet specifications are 0.91 and 0.85. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications. X = number of components that meet specifications.

Answer 1

Answer:0.77

Explanation:

Let A be the specification of first components and B be the specification of second component

Let P(A) be the probability that A meets specification and P(B) be the probability that B meets specification.

Probability mass function of the number of components in the assembly that meet specification = P(A) × P(B) (since they are independent)

X= 0.91×0.85

X= 0.77