1nbspcards are drawn one at a time without replacement from, Basic Statistics

1nbspcards are drawn one at a time without replacement from

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 .

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