# Probability density for life span of electronic componet

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Please solve the following problem:

The lifetime (in hours) Y of an electronic component is a random variable with density function given by

f(y) =

Three of these components operate independently in a piece of equipment. The equipment fails if at least two of the components fail. Find the probability that the equipment will operate for at least 200 hours without failure.

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##### Solution Summary

This solution give step by step procedure for computing the probability that the equipment will operate for at least 200 hours without failure.

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