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.)