a) the expected number of purple marbles, E(X). b) the probability that exactly 3 of the 5 chosen marbles will be purple. (P(x = 3) = c) the probability that at least 1 of them will be purple.

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Chapter1: Combinatorial Analysis
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A bag contains 20 marbles, 12 of them are purple. Let the number of purple marbles drawn be X. For this hypergeometric probability distribution, if 5 marbles are chosen, without
replacement, determine (to four decimal places of accuracy):

a) the expected number of purple marbles, E(X).

b) the probability that exactly 3 of the 5 chosen marbles will be purple.
(P(x = 3) =

c) the probability that at least 1 of them will be purple.

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