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Solved: A system contains two components, A and B. The
Chapter 2, Problem 16E(choose chapter or problem)
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?
Questions & Answers
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