Question

Asked Jun 12, 2019

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The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) = (e^{-x/1000} )/1000 for x > 0. Determine the probability that:

A component lasts more than 1156 hours before failure. Please enter the answer to 3 decimal places.

Step 1

**Computing the probability that a component lasts more than 1,156 hours before failure:**

Define the random variable *X *as the time to failure of an electronic component in a copier (in hours). The probability density function of the time to failure of an electronic component in a copier is,

Step 2

A component lasts more than 1,156 hours before failure. That is, the time to failure is...

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