Let X be a random variable with p.d.f. f(x)=2x/pi^2, 0<x<pi; 0 otherwise. Let Y=sin X, then for 0<y<1, the p.d.f. of Y is given by:

Q31Section I (Objective (Q1–Q80))31 of 80

Distribution Theory — pdf of Y=sin X for a non-monotonic transform

Let X be a random variable with p.d.f. $f(x)=\frac{2x}{\pi^2}$ , $0<x<\pi$ ; 0 otherwise. Let $Y=\sin X$ , then for $0<y<1$ , the p.d.f. of Y is given by:

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