Find the joint pdf
1) Let X ~ Pareto(Y). What is distribution for Y = ln ( X + 1) ?
2) If f (x1,x2 ) = 2*exp (-x1 - x2) for 0 Find the joint pdf for Y1=2X1 and Y2 = X2 - X1. Are Y1 and Y2 independent.
Find the joint pdf for Y1=2X1 and Y2 = X2 - X1. Are Y1 and Y2 independent.
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2) If f (x1,x2 ) = 2*exp (-x1 - x2) for 0<x1<x2<infinity. Find the joint pdf for Y1=2X1 and Y2 = X2 - X1. Are Y1 and Y2 independent.
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