A city is served by three cable TV companies: Xcellent Cable, Your Cable, and Zephyr Cable. A survey of 1000 cable subscribers shows this breakdown of customers from the beginning to the end of August. $$\begin{array} { c | c c c }
\text { Company on } & { \text { Company on August } 31 } \
\text { August 1 } & \text { Xcellent } & \text { Your } & \text { Zephyr } \
\hline \text { Xcellent } & 300 & 50 & 50 \
\text { Your } & 10 & 200 & 40 \
\text { Zephyr } & 40 & 80 & 230
\end{array}$$
a.Construct the transition matrix.
b.What was each company's share of the market at the beginning and the end of the month?
c.If the current trend continues what will the market shares be?

Question

A city is served by three cable TV companies: Xcellent Cable, Your Cable, and Zephyr Cable. A survey of 1000 cable subscribers shows this breakdown of customers from the beginning to the end of August. $$\begin{array} { c | c c c } 
\text { Company on } &  { \text { Company on August } 31 } \
\text { August 1 } & \text { Xcellent } & \text { Your } & \text { Zephyr } \
\hline \text { Xcellent } & 300 & 50 & 50 \
\text { Your } & 10 & 200 & 40 \
\text { Zephyr } & 40 & 80 & 230
\end{array}$$ 
a.Construct the transition matrix.
b.What was each company's share of the market at the beginning and the end of the month?
c.If the current trend continues what will the market shares be?

Quizplus · Accepted Answer

The Answer of A city is served by three cable TV companies: Xcellent Cable, Your Cable, and Zephyr Cable. A survey of 1000 cable subscribers shows this breakdown of customers from the beginning to the end of August. $$\begin{array} { c | c c c } 
\text { Company on } &  { \text { Company on August } 31 } \
\text { August 1 } & \text { Xcellent } & \text { Your } & \text { Zephyr } \
\hline \text { Xcellent } & 300 & 50 & 50 \
\text { Your } & 10 & 200 & 40 \
\text { Zephyr } & 40 & 80 & 230
\end{array}$$ 
a.Construct the transition matrix.
b.What was each company's share of the market at the beginning and the end of the month?
c.If the current trend continues what will the market shares be?

A City Is Served by Three Cable TV Companies: Xcellent