Question: Let X be a random variable with density function f(x) = {1/4 1 < x < 2 { c 3 < x <5 { 0

Let X be a random variable with density function

f(x) = {1/4 1< x < 2

{ c 3< x <5

{ 0 otherwise,

where c is a constant.

(a) What is the value c?

(b) Find P(3/2< X <4).

(c) Find E[X].

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