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Probability density for life span of electronic componet

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Please see the attached document.

Please see the attachment.

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.

Thank you for your assistance!

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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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