Suppose that f (x) = e-(x-6.5) for 6.5 < x and f (x) = 0 for x ≤ 6.5. Determine the following probabilities. Round your answers to three decimal places (e.g. 98.765).
(a)P(X > 6.5)
(b)P(6.5 ≤ X < 8.5)
(c)P(X < 8.5)
(d)P(X > 8.5)
(e) Determine x such that P(X < x) = 0.952.