1. Cards are drawn one at a time, without replacement, from a deck of 52 cards until the first club card is obtained. Let X be the number of draws required.
(a) Find the mass function of X .
(b) Find the mean of X .
2. X is uniformly distributed on f1; 2; ::: ; ng, and Y is uniformly dis- tributed on f2; 4; : : : ; 2ng; X and Y are independent variables.
(a) Find the variance of X C Y .
(b) Find the variance of XY .
(c) Find P.Y > X/.