Please help me to understand this problem:

_ e -X/1032 The probability density function of the time to failure of an electronic component in a copier (in hours) is f (X) W 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.)