Question

WXXx, WYYY, AND WZZZ are three radio stations that compete for listeners. Each month some of the listeners switch from one station to another while some remain loyal to their current station. It has been found that each month 20% of the listeners of WXXX switch to wYYY 10% of the listeners of wxxx switch to wzzz 30% of the listeners of WYYY 5witch to wxxx 10% of the listeners of WYYY switch to wzzz 20% of the listeners of WZZZ switch to wxxx 30% of the listeners of WZZZ switch to wYYY Currently, the listening audience is divided as follows: 20% listen to WXXX 40% listen to wYYY 40% listen to WZZZ Use this information to answer the following questions. (Give your answers correct to three decimal places. Note that you are asked to give decimal values and not percentages. For example, you would need to enter 0.628 as opposed to 62.800%.) (a) What fraction of the listeners will WZZZ have after 2 months? 204 (b) What fraction of the listeners wll WXXX have after 3 months? (c) What fraction of the listeners will WYYY have after 5 months? Submit Answer

Answer 1

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ANSWER:

EXPLANATION:

As per the question given

Second Month	0.196	0.056	0.028
	0.119	0.237	0.040
	0.055	0.083	0.138
Final Figures	0.370	0.376	0.205
Third Month	0.259	0.074	0.037
	0.113	0.225	0.038
	0.041	0.062	0.103
Final Figures	0.412	0.361	0.177

Fifth Month	0.303	0.086	0.043
	0.106	0.211	0.035
	0.033	0.050	0.083
Final Figures	0.441	0.347	0.161

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