Introduction to Probability and Statistics

14th Edition

ISBN: 9781133103752

Author: Mendenhall, William

Publisher: Cengage Learning

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Textbook Question

Chapter 4.7, Problem 4.75E

Football Strategies A particular football team is known to run 30% of its plays to the left and 70% to the right. A linebacker on an opposing team notes that the right guard shifts his stance most of the time (80%) when plays go to the right and that he uses a balanced stance the remainder of the time. When plays go to the left, the guard takes a balanced stance 90% of the time and the shift stance the remaining 10%. On a particular play, the linebacker notes that the guard takes a balanced stance.

a. What is the probability that the play will go to the left?

b. What is the probability that the play will go to theright?

c. If you were the linebacker, which direction would you prepare to defend if you saw the balanced stance?

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Chapter 4.7, Problem 4.74E

Chapter 4.7, Problem 4.76E

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Chapter 4 Solutions

Introduction to Probability and Statistics

Ch. 4.3 - Tossing a Die An experiment involves tossing a...Ch. 4.3 - Prob. 4.2E Ch. 4.3 - A sample space contains 10 simple events:...Ch. 4.3 - Free Throws A particular basketball player hits...Ch. 4.3 - Four Coins A jar contains four coins: a nickel, a...Ch. 4.3 - Preschool or Not? On the first day of...Ch. 4.3 - Prob. 4.7E Ch. 4.3 - The Urn Problem, continued Refer to Exercise 4.7....Ch. 4.3 - Need Eyeglasses? A survey classified a large...Ch. 4.3 - Prob. 4.10E

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Solution Summary: The author calculates the probability that the play will go to the left using Bayes' rule.

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