Question: Problem 4.18 Consider the random variable X with distribution function F(x)=0, x 0, F(x)=1 1 (1 + x)2 ,x> 0. (a) Graph F(x)

Problem 4.18 Consider the random variable X with distribution function F(x)=0, x ≤ 0, F(x)=1 − 1 (1 + x)2 ,x> 0.

(a) Graph F(x) for all x.

(b) Compute the pdf f(x) for all x and sketch its graph.

(c) Compute P(1

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