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

Chapter 4, Problem 4.104

(choose chapter or problem)

The lifetime (in hours) Y of an electronic component is a random variable with density function given by f (y) = 1 100 ey/100, y > 0, 0, elsewhere. 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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