Suppose continuous random variables X and Y have joint pdf f X ,Y

(x , y)=

2

3

(x+2y) for 0

and 0

(x )=

2

3

(x+1) for

0

(y)=

1

3

(4y+1) for 0

a) (2) Determine the conditional distribution for X given that Y = 0.5.

b) (2) Determine the conditional distribution for Y given that X = 0.3

\f