The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) = (e^-x/1076)/
(1076) for x>0. Determine the probability that A) A component lasts more than 3000 hours before failure. (Round the answer to 3 decimal places.)
B) A component fails in the interval from 1000 to 2000 hours. (Round the answer to 3 decimal places.)
C) A component fails before 1000 hours. (Round the answer to 3 decimal places.)
D) Determine the number of hours at which 10% of all components have failed. (Round the answer to the nearest integer.)