In an office complex of 1180 employees, on any given day some are at work and the rest are absent. It is known that if an employee is at work today, there is an 84% chance that she will be at work tomorrow, and if the employee is absent today, there is a 64% chance that she will be absent tomorrow. Suppose that today there are 991 employees at work. (a) Find the transition matrix for this scenario (assume that state 1 is "at work" and state 2 is "absent"). (b) Predict the number that will be at work five days from now. (c) Find the steady-state vector. (Note that the sum of the entries must be the total number of employees, but make sure that your answers are correct to at least 1 decimal place.)
In an office complex of 1180 employees, on any given day some are at work and the rest are absent. It is known that if an employee is at work today, there is an 84% chance that she will be at work tomorrow, and if the employee is absent today, there is a 64% chance that she will be absent tomorrow. Suppose that today there are 991 employees at work. (a) Find the transition matrix for this scenario (assume that state 1 is "at work" and state 2 is "absent"). (b) Predict the number that will be at work five days from now. (c) Find the steady-state vector. (Note that the sum of the entries must be the total number of employees, but make sure that your answers are correct to at least 1 decimal place.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In an office complex of 1180 employees, on any given day some are at work and the rest are absent. It is known that if an employee is at work today, there is an 84% chance that she will be
at work tomorrow, and if the employee is absent today, there is a 64% chance that she will be absent tomorrow. Suppose that today there are 991 employees at work.
(a) Find the transition matrix for this scenario (assume that state 1 is "at work" and state 2 is "absent").
(b) Predict the number that will be at work five days from now.
(c) Find the steady-state vector. (Note that the sum of the entries must be the total number of employees, but make sure that your answers are correct to at least 1 decimal place.)
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