Suppose that f (x) = e-(x-7.4) for 7.4 < x and f (x) = 0 for x ? 7.4. Determine the following probabilities. Round your answers to three decimal places (e.g. 98.765).
(a) P (X > 7.4)
(b) P (7.4 ? X < 8.8)
(c) P (X < 8.8)
(d) P (X > 8.8)
(e) Determine x such that P(X < x) = 0.959.