Question

Suppose you choose a real number X from the interval [2, 10] with a density function of the form f(x) = Cx, where C is a constant.
(a) Find C.
(b) Find P(E), where E = [a, b] is a subinterval of [2, 10].
(c) Find P(X > 5), P(X < 7), and P(X2 − 12X + 35 > 0).

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Probability

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