hour, while 10% will switch to the music station at the station break. Of the listeners who are tuned to the music station, 50% will switch to the news station at the station break, while 50% will remain listening to the music. Suppose every 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. Find the steady-state vector for the Markov chain. Choose the correct answer below. (Type integers or decimals rounded to three decimal places as needed.) O A. q= O B. q= OC. q= b. At some point late in the day, what fraction of the listeners will be listening to the news? Late in the day % of the listeners will be listening to the news. (Round to the nearest percent as needed.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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, 90% will remain listening to the news after the station break that occurs each half
hour, while 10% will switch to the music station at the station break. Of the listeners who are tuned to the music station, 50% will switch to the news station at the station break, while 50% 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.
Find the steady-state vector for the Markov chain. Choose the correct answer below.
(Type integers or decimals rounded to three decimal places as needed.)
O A. 9=
O B. q=
O C. q=
b. At some point late in the day, what fraction of the listeners will be listening to the news?
Late in the day % of the listeners will be listening to the news.
(Round to the nearest percent as needed.)
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, 90% will remain listening to the news after the station break that occurs each half hour, while 10% will switch to the music station at the station break. Of the listeners who are tuned to the music station, 50% will switch to the news station at the station break, while 50% 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. Find the steady-state vector for the Markov chain. Choose the correct answer below. (Type integers or decimals rounded to three decimal places as needed.) O A. 9= O B. q= O C. q= b. At some point late in the day, what fraction of the listeners will be listening to the news? Late in the day % of the listeners will be listening to the news. (Round to the nearest percent as needed.)
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