Solved: A system contains two components, A and B. The

Chapter 2, Problem 16E

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QUESTION:

A system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability that the system functions?

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QUESTION:

A system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability that the system functions?

ANSWER:

Solution :

Step 1 of 1

Let A and B be the two components.

Let A be the probability function is

P(A) = 0.95

Let B be the probability function is

P(B) = 0.90 and

The probability both function is 0.88

Here both function is A and B.

Therefore

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