Question: The density function for a continuous random variable X on the interval 1 x 4 is f (x) = 4/9x - 1/9x 2

The density function for a continuous random variable X on the interval 1 ≤ x ≤ 4 is f (x) = 4/9x - 1/9x2.

(a) Use f (x) to compute Pr (3 ≤ X ≤ 4).

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

(c) Use F (x) to compute Pr (3 ≤ X ≤ 4).

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