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Harlamova29_29 [7]
3 years ago
6

Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump wil

l fail is .10, and the probability that only the newer pump will fail is .05. What is the probability that the pump- ing system will fail on any given day (which happens if both pumps fail)?
Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer : Probability that the pumping system will fail on any given day = 0.005

Explanation:

Probability that only older pump fail = P(A) = 0.10

Probability that only newer pump fail = P(B) = 0.05

Since they are independent events ,

then the conditions will be

P(A∩B) = P(A). P(B)

             = 0.10 ×0.05

             =  0.005

Hence, the probability will fail on any given day = 0.005

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