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, 60% will remain listening to the news after the station break that occurs each half hour, while 40% will switch to the music station at the station break. Of the listeners who are tuned to the music station, 80% will switch to the news station at the station break, while 20% 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 12CYU
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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, 60% will remain listening to the news after the station break that occurs each half hour, while 40% will switch to the music
station at the station break. Of the listeners who are tuned to the music station, 80% will switch to the news station at the station break,
while 20% 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, 60% will remain listening to the news after the station break that occurs each half hour, while 40% will switch to the music station at the station break. Of the listeners who are tuned to the music station, 80% will switch to the news station at the station break, while 20% 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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