The probability that an airplane engine will fail in a transcontinental flight is 0.002. Supposing that engine failures are independent of each other, determine the probability that on a certain transcontinental flight, a six-engine plane will experience:
(a) Exactly one engine failure? (Round your answer to five decimal places.)
(b) Exactly two engine failures? (Round your answer to six decimal places.)
(c) More than two engine failures? (Note: In this event, the airplane will crash. Round your answer to nine decimal places.)