A card is drawn from a well-shuffled deck. Let X be the blackjack value of the first

Chapter 0, Problem 14

(choose chapter or problem)

A card is drawn from a well-shuffled deck. Let X be the blackjack value of the first card in the deck and let Y be the value of the second card. (Recall that face cards are worth 10 and aces are worth 11; see problem 6). Please do the following: a. Calculate P .X is even/. b. Calculate E.X /. c. Calculate E.Y /. d. Are X and Y independent? Justify your answer. e. Calculate E.X C Y /. f. Calculate P .X D Y /. g. Calculate Var.X /.

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