Recent content by saizen21

Homework Statement Let X and Y have JD f(x,y) = e^-y, 0<x<y Find: a) E(X|Y=y), E(Y|X=x) b) density function of R.V. E(X|Y), E(Y|X) The Attempt at a Solution a) I have found E(X|Y=y) = y/2 for y>= 0 E(Y|X=x) = x +1 for x>= 0 by finding fx(x) = ∫(x to infinity) e^-y dy = e^-x...

is this also possible? 1<=x<=1 -1<=ux<=1 0<=1+ux<=2 0<=(1+ux)/2<=1 therefore its always >= 0

Homework Statement Let f(x) = (1 + ux)/2 for -1<= x <= 1 and 0 otherwise . where -1<= u <= 1 a) show f is a density Homework Equations TO show 1. f(x) >= 0 2. intergeral f (from -infinity to infinity) = 1 The Attempt at a Solution I have done 2. and proved that it is 1...