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...
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...