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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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