2
(b) The joint probability density functions of two random variables X and Y is given by:
f (x, y)
2e-xe-2y, 0 0, otherwise.
(i) Check that f(x, y) is a joint density function.
(ii) Find the marginal density functions of X and Y.
Find the conditional density function of f(x|Y = y) and f(y|x = x).
(
STA2610/014/0/2C
QUESTION 3
Consider the joint probability density function given in question 2(b) above, then find
(a) P (X> 1, Y> 1).
(b) P(X
Please assist me with the above questions