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Problem 4: A salesman flies around between Atlanta, Boston, and Chicago as follows. The time she spends at each city is am exponential random variable with rates ua = 5, µB = 4, µc = 2. 1 • If she is in Atlanta, 80% of the time, she will fly next to Boston and 20% to Chicago. • If she is in Boston, 50% of the time, she will fly next to Atlanta and 50% to Chicago. • If she is in Chicago, 30% of the time, she will fly next to Boston and 70% to Atlanta. (a) Find the limiting fraction of time she spends in each city. (b) She just left Atlanta. What is the expected time until she returns to Atlanta?

Problem 4: A salesman flies around between Atlanta, Boston, and Chicago as follows. The time she spends at each city is am exponential random variable with rates ua = 5, µB = 4, µc = 2. 1 • If she is in Atlanta, 80% of the time, she will fly next to Boston and 20% to Chicago. • If she is in Boston, 50% of the time, she will fly next to Atlanta and 50% to Chicago. • If she is in Chicago, 30% of the time, she will fly next to Boston and 70% to Atlanta. (a) Find the limiting fraction of time she spends in each city. (b) She just left Atlanta. What is the expected time until she returns to Atlanta?

MATLAB: An Introduction with Applications
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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Problem 4: A salesman flies around between Atlanta, Boston, and Chicago as follows. The time she spends at each city is am exponential random variable with rates u A = 5, µB = 4, µc = 2. 1 • If she is in Atlanta, 80% of the time, she will fly next to Boston and 20% to Chicago. • If she is in Boston, 50% of the time, she will fly next to Atlanta and 50% to Chicago. • If she is in Chicago, 30% of the time, she will fly next to Boston and 70% to Atlanta. (a) Find the limiting fraction of time she spends in each city. (b) She just left Atlanta. What is the expected time until she returns to Atlanta?
Transcribed Image Text:Problem 4: A salesman flies around between Atlanta, Boston, and Chicago as follows. The time she spends at each city is am exponential random variable with rates u A = 5, µB = 4, µc = 2. 1 • If she is in Atlanta, 80% of the time, she will fly next to Boston and 20% to Chicago. • If she is in Boston, 50% of the time, she will fly next to Atlanta and 50% to Chicago. • If she is in Chicago, 30% of the time, she will fly next to Boston and 70% to Atlanta. (a) Find the limiting fraction of time she spends in each city. (b) She just left Atlanta. What is the expected time until she returns to Atlanta?
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