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In a standard deck of playing cards, there are 4 suits, and in each suit, there are 13 cards: A, 2, 3, 4, 5, 6,7

In a standard deck of playing cards, there are 4 suits, and in each suit, there are 13 cards: A, 2, 3, 4, 5, 6,7 , 8, 9, 10, J, Q, and K.

(a) Suppose we count A as 1; and J, Q, and K as 10; and all the other cards at the numbers being shown. If we randomly draw cards from such a deck, with each card being equally likely to be drawn, what are the expected value and the variance? (b) Suppose we count A as 11; and J, Q, and K as 10; and all the other cards at the numbers being shown. If we randomly draw cards from such a deck, with each card being equally likely to be drawn, what are the expected value and the variance?

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