Question: The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) =e-x/100/1000 for x > 0

The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) =e-x/100/1000 for x > 0 Determine the probability that
(a) A component lasts more than 3000 hours before failure.
(b) A component fails in the interval from 1000 to 2000 hours.
(c) A component fails before 1000 hours.
(d) Determine the number of hours at which 10% of all components have failed.

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