Question: Let X be a continuous random variable with values between A = 1 and B = , and with the density function f (x) =

Let X be a continuous random variable with values between A = 1 and B = ∞, and with the density function f (x) = 4x-5.

(a) Verify that f (x) is a probability density function for x ≥ 1.

(b) Find the corresponding cumulative distribution function F (x).

(c) Use F (x) to compute Pr (1 ≤ X ≤ 2) and Pr (2 ≤ X ).

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