Suppose that Determine the f(x) = e-(x-4) for 4 < x. following probabilities: (a) P(1 < X)

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Suppose that Determine the f(x) = e-(x-4) for 4 < x. following probabilities:
(a) P(1 < X)
(b) P(2 > X < 5)
(c) P(5 < X)
(d) P(8 < X < 12)
(e) Determine x such that P(X _ x) = 0.90.
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