Question: Suppose that f(x) = 1.5x2 for 1 < x < 1. Determine the following probabilities: (a) P(0 < X) (b) P(0.5 < X) (c)

Suppose that f(x) = 1.5x2 for – 1 < x < 1. Determine the following probabilities:
(a) P(0 < X)
(b) P(0.5 < X)
(c) P( - 0.5 < X < 0.5)
(d) P(X < - 2)
(e) P(X < 0 or X) – 0.5)
(f) Determine x such that p(x < X) = 0.05.

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