# 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.

Question

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.