Q37Section I (Objective (Q1–Q80))37 of 80

Distribution Theory — normalizing constant for a piecewise density

Let X be a continuous random variable with p.d.f. $f(x)=ax$ for $0\le x<1$ , $a$ for $1\le x\le2$ , $-ax+3a$ for $2<x\le3$ ; 0 elsewhere. What is the value of the constant $a$ ?

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