From purchase to purchase, a particular customer switches brands among products A, B, C according to a Markov chain whose transition probability matrix is ||0.6 0.2 0.2 P = 0.1 0.7 0.2 0.1 0.1 0.8 In the long run, what fraction of time does this customer purchase brand A?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.7: Cooridinates And Change Of Basis
Problem 57E
icon
Related questions
Question
From purchase to purchase, a particular customer switches brands among products
A, B, C according to a Markov chain whose transition probability matrix is
||0.6 0.2 0.2
P = |0.1 0.7 0.2
0.1 0.1 0.8
In the long run, what fraction of time does this customer purchase brand A?
Transcribed Image Text:From purchase to purchase, a particular customer switches brands among products A, B, C according to a Markov chain whose transition probability matrix is ||0.6 0.2 0.2 P = |0.1 0.7 0.2 0.1 0.1 0.8 In the long run, what fraction of time does this customer purchase brand A?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer