Random variable X and Y have the joint PDFf_{XY}(x,y)=\begin{cases}c,\ x

nitraiddQ 2021-10-28 Answered

Random variable X and Y have the joint PDF
fXY(x,y)={c, x0,y0,(x2+y)1,0,     otherwise
Find the marginal PDF fY(y).

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Expert Answer

Luvottoq
Answered 2021-10-29 Author has 95 answers

The marginal PDF fY(y) is obtained as given below:
fX,Y(x,y)={32;   x0,y0,(x2+y)10; otherwise}
f(y)=xf(x,y)dx
=01y32dx
=[32x]01y
=31y2
f(y)=31y2;0y1

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