Let X = (x1, . .., Ck) for some fixed k, be a random variable whose probability density function is defined as: f (2 ) = ( n 1 CK (8) C1 , . . . , Ck P1 ,. . . ,PK : where n n! = (9) C1, . . . , Ck 1., . . . Ck! Also p; 2 0 for all j = {1, ..., k} and _;_jp; = 1. What is the value of E( X) d EX-IP, and V(X)