# Question: suppose that x and y are jointly continuous random variables...

###### Question details

Suppose that X and Y are jointly continuous random
variables with joint density

f(x, y) = (

ye−xy 0 < x < ∞, 1 < y < 2

0 otherwise

(a) Given that X > 1, what is the expected value of Y ? That is,
calculate E[Y | X > 1].

(b) Given that X > Y , what is the expected value of X? For this
part, you are only required

to set up the requisite integrals, but not required to evaluate
them.

(c) Compute E[X | Y ].