A player selects two cards at random without replacement from an ordinary deck of 52 cards

| August 30, 2017

Question
A player selects two cards at random without replacement from an ordinary deck of 52 cards.

Let random variables X and Y denote the number exposed on the first and second cards, where jack, queen and king are counted as 11, 12 and 13, respectively.

(a) Find the conditional PMF of Y given X = x, where x ? {1, 2, . . . , 13}.

(b) Find the joint PMF of X and Y .(c) Find the mean and standard deviation of X and Y .

(d) Find ?(X, Y ), the correlation coe

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