consider a soccer player who makes a shot with the following probabilities: 1/2 if he has missed the last two times 2/3 if he has hit one of his last two shots 3/4 if he has hit both of his last two shots To formulate a Markov chain to model his shooting, we let the states of the process be the outcomes of his last two shots: S = {HH,HM, MH, MM} where M is short for miss and H for hit. The transition probability is 1. Find the transition matrix M hints: let Yn = (Xn, Xn+1) € S with Xn = M, H 2. Evaluated M

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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consider a soccer player who makes a shot with the following probabilities:
1/2 if he has missed the last two times
2/3 if he has hit one of his last two shots
3/4 if he has hit both of his last two shots
To formulate a Markov chain to model his shooting, we let the states of the process be the
outcomes of his last two shots: S = {HH,HM, MH, MM} where M is short for miss and H
for hit. The transition probability is
1. Find the transition matrix M hints: let Yn = (Xn, Xn+1) € S with Xn
М, Н
%3D
2. Evaluated M"
Transcribed Image Text:consider a soccer player who makes a shot with the following probabilities: 1/2 if he has missed the last two times 2/3 if he has hit one of his last two shots 3/4 if he has hit both of his last two shots To formulate a Markov chain to model his shooting, we let the states of the process be the outcomes of his last two shots: S = {HH,HM, MH, MM} where M is short for miss and H for hit. The transition probability is 1. Find the transition matrix M hints: let Yn = (Xn, Xn+1) € S with Xn М, Н %3D 2. Evaluated M"
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