Question: The continuous random variable X has probability density function f(x) = 2.25x^(-3) for 1 s xs 3 and f(x) = O elsewhere. The cumulative

The continuous random variable X has probability density function f(x) = 2.25x^(-3)

The continuous random variable X has probability density function f(x) = 2.25x^(-3) for 1 s xs 3 and f(x) = O elsewhere. The cumulative distribution function F is given by F(x) = 1 2.25y ^(-3)dy. (a) Find P(X < 2) = F(2). (b) Find P(X > 1.5). (c) Find P(1.5 s X s 2.5).

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