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OpenStax, Introductory Statistics 2e §4.5 Hypergeometric Distribution · Exercise 10 · Probability · Discrete distributions

Hypergeometric Distribution · Exercise 10

A bridge hand is defined as 13 cards selected at random and without replacement from a deck of 52 cards. In a standard deck of cards, there are 13 cards from each suit: hearts, spades, clubs, and diamonds. What is the probability of being dealt a hand that does not contain a heart?

(a) What is the group of interest?
(b) How many are in the group of interest?
(c) How many are in the other group?
(d) Let X = _________. What values does X take on?
(e) The probability question is P(_______).
(f) Find the probability in question.
(g) Find the (i) mean and (ii) standard deviation of X.

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OpenStax, Introductory Statistics 2e · §4.5 Hypergeometric Distribution · Exercise 10

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