Quotient of 2 random variables.

Suppose that

X

and

Y

are

independent

positive continuous

random variables

with pdfs fX(x) andfY(y)

and suppose that

Z=X/Y

Show that the pdf of Z

can be computed from the pdfs

fX(x) and fY(y) using

Z(z)=Z+ integralfX(yz)fY(y)ydy

Rest of the question is in picture