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solving probability question

solving probability question

X is a random variable with
f(x) = cxe~2x, for 0 < x < oo. Here c is some positive constant. 1. What is the value of c? 2. Find E[5X + 1]. 3. Find Var [AX + 2]. 4. Consider Y ~ Uni([l, 5]). What is the 75% quantile of Y?

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