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. A component lasts more...

Extracted text: 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. A component lasts more than 3000 hours before failure b. A component fails in the interval from 1000 to 2000 hours