Question: The time (in minutes) required to complete a certain subassembly is a random variable X with the density function f (x) = 1/21x 2 ,

The time (in minutes) required to complete a certain subassembly is a random variable X with the density function f (x) = 1/21x2, 1 ≤ x ≤ 4.

(a) Use f (x) to compute Pr (2 ≤ X ≤ 3).

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

(c) Use F (x) to compute Pr (2 ≤ X ≤ 3).

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