The card game Hearts is played with a standard 52-card deck. There are 13 hearts in the deck, each of which is worth 1 point. There is also one card called the Queen of Spades in the deck, which is worth 13 points. You draw a hand of 13 cards (without replacement). (a) The number of hearts you draw follows a Hypergeometric distribution. What is its expected value?(b) The number of Queens of Spades is, of course, either 0 or 1 (since there’s only one in the deck), so it follows a Bernoulli distribution. What is its expected value? (c) What is the expected value of the total number of points in the hand you draw?
The card game Hearts is played with a standard 52-card deck. There are 13 hearts in the deck, each of which is worth 1 point. There is also one card called the Queen of Spades in the deck, which is worth 13 points. You draw a hand of 13 cards (without replacement). (a) The number of hearts you draw follows a Hypergeometric distribution. What is its expected value?(b) The number of Queens of Spades is, of course, either 0 or 1 (since there’s only one in the deck), so it follows a Bernoulli distribution. What is its expected value? (c) What is the expected value of the total number of points in the hand you draw?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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. The card game Hearts is played with a standard 52-card deck. There are 13 hearts in the
deck, each of which is worth 1 point. There is also one card called the Queen of Spades in
the deck, which is worth 13 points.
You draw a hand of 13 cards (without replacement).
(a) The number of hearts you draw follows a Hypergeometric distribution. What is its
expected value?(b) The number of Queens of Spades is, of course, either 0 or 1 (since there’s only one in
the deck), so it follows a Bernoulli distribution. What is its expected value?
(c) What is the expected value of the total number of points in the hand you draw?
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