Find any restrictions on the constants a b and needed for

Question

Consider again the joint CDF given in Exercise:

(a) For constants and a, such that  b, and , find 

(b) For constants c and d, such that  find 

(c) Find  Are the events  statistically independent?

Exercise

A colleague of your proposes that a certain pair of random variables be modeled with a joint CDF of the form

(a) Find any restrictions on the constants ,a , b ,and needed for this to be a valid joint CDF.

(b) Find the marginal CDFs F_X(Y ) and  F_Y(Y )under the restrictions found in part (a).