|
Def. Let X and Y be continuous random variables. The conditional probability density function of Y given that X = x is:
f Y\X (y \x) =  , where fx (x) 0 - y
|
Ex.4 Suppose that p(x,y), the joint pmf of X and Y is given by
p (0,0) = 0.4, p (0,1) = 0.2, p(1,0) = 0.1, p (1,1) = 0.3
Calculate the conditional pmf of x given that Y =1.
Sol.
Ex.5 The joint density of X and Y is given by:
f (x,y) =  , 0 x 1, 0 y 1
= 0 otherwise
Compute the conditional density of X, given that Y = y, where 0 y 1
Sol.  =  =  = 
Share with your friends: |
