A remote village receives radio broadcasts from two radio stations, a news station and a music station. Of the listeners who are tuned to the news station, 70% will remain listening to the news afte the station break that occurs each half hour, while 30% will switch to the music station at the station break. Of the listeners who are tuned to the music station, 60% will switch to the news station at the station break, while 40% will remain listening to the music. Suppose everyone listening to the news at 8:15 A.M. Complete parts a and b. a. Find the steady-state vector for the Markov chain. C q= (Round to two decimal places as needed. Type an integer or decimal for each matrix element.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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A remote village receives radio broadcasts from two radio stations, a news station and a music station. Of the listeners who are tuned to the news station, 70% will remain listening to the news after
the station break that occurs each half hour, while 30% will switch to the music station at the station break. Of the listeners who are tuned to the music station, 60% will switch to the news station at
the station break, while 40% will remain listening to the music. Suppose everyone is listening to the news at 8:15 A.M. Complete parts a and b.
a. Find the steady-state vector for the Markov chain.
q=
(Round to two decimal places as needed. Type an integer or decimal for each matrix element.)
Transcribed Image Text:A remote village receives radio broadcasts from two radio stations, a news station and a music station. Of the listeners who are tuned to the news station, 70% will remain listening to the news after the station break that occurs each half hour, while 30% will switch to the music station at the station break. Of the listeners who are tuned to the music station, 60% will switch to the news station at the station break, while 40% will remain listening to the music. Suppose everyone is listening to the news at 8:15 A.M. Complete parts a and b. a. Find the steady-state vector for the Markov chain. q= (Round to two decimal places as needed. Type an integer or decimal for each matrix element.)
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