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Mathematics, 04.04.2020 10:36 jkemail19
Suppose we roll a fair six-sided die 20 times and draw ten cards from a standard 52-card deck. Let X be the number of "6"s rolled plus the number of Jack, Queen, King, or Aces drawn (There are 16 such cards in the 52).
(a) Calculate the Expected value, Variance, and Standard deviation of X.
Hint: Let X1 be the number of "6"s rolled and X2 be the number of Jacks or better drawn. Then, X = X1 +X2, and X1 and X2 are independent.
(b) What is the probability that we roll at least five "6"'s and, at the same time, draw at least 4 Jacks, Queens, Kings, or Aces?
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Suppose we roll a fair six-sided die 20 times and draw ten cards from a standard 52-card deck. Let X...
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