Suppose that a basketball player's success in free-throw shooting can be described with a Markov chain. If the player made the last free throw, then she is four times more likely to make the next free throw as miss it. If the player missed her last free throw, then she is equally likely to make or miss the next free throw. 1. Find the transition matrix for the Markov chain. 2. If she made her last free throw, what is the probability she makes the next two in a row, for a total of three in a row? 3. If the she makes he third free throw, what is the probability she makes her fifth free throw? 4. If she misses her first free throw, what is the probability she also misses her third and fifth free throw?

Suppose that a basketball player's success in free-throw shooting can be described with a Markov chain. If the player made the last free throw, then she is four times more likely to make the next free throw as miss it. If the player missed her last free throw, then she is equally likely to make or miss the next free throw. 1. Find the transition matrix for the Markov chain. 2. If she made her last free throw, what is the probability she makes the next two in a row, for a total of three in a row? 3. If the she makes he third free throw, what is the probability she makes her fifth free throw? 4. If she misses her first free throw, what is the probability she also misses her third and fifth free throw?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 15EQ

See similar textbooks