Question: Let X be a continuous random variable with the density function f (x) = 2(x + 1) -3 , x 0. (a) Verify that

Let X be a continuous random variable with the density function f (x) = 2(x + 1)-3, x ≥ 0.

(a) Verify that f (x) is a probability density function for x ≥ 0.

(b) Find the cumulative distribution function for X.

(c) Compute Pr (1 ≤ X ≤ 2) and Pr (3 ≤ X ).

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