On any given day, a student is either healthy or ill. Of the students who are healthy today, 95% will be healthy tomorrow. Of the students who are ill today, 55% will still be ill tomorrow. Complete parts (a) through (c) below. a. What is the stochastic matrix for this situation? 0.95 0.45 0.05 0.55 (Type an integer or decimal for each matrix element.) b. Suppose 20% of the students are ill on Monday. What percentage of the students are likely to be ill on Tuesday? On Wednesday? The percentage of students likely to be ill on Tuesday is 15.0 % (Round to the nearest tenth as needed.) The percentage of students likely to be ill on Wednesday is%. (Round to the nearest tenth as needed.)

On any given day, a student is either healthy or ill. Of the students who are healthy today, 95% will be healthy tomorrow. Of the students who are ill today, 55% will still be ill tomorrow. Complete parts (a) through (c) below. a. What is the stochastic matrix for this situation? 0.95 0.45 0.05 0.55 (Type an integer or decimal for each matrix element.) b. Suppose 20% of the students are ill on Monday. What percentage of the students are likely to be ill on Tuesday? On Wednesday? The percentage of students likely to be ill on Tuesday is 15.0 % (Round to the nearest tenth as needed.) The percentage of students likely to be ill on Wednesday is%. (Round to the nearest tenth as needed.)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 55E

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