A Television Ratings Company Surveys 100 Viewers on March 1

Essay

A television ratings company surveys 100 viewers on March 1 and April 1 to find what was being watched at 6:00 p.m. -- the local NBC affiliate's local news, the CBS affiliate's local news, or "Other" which includes all other channels and not watching TV. The results show $\begin{array}{cc|ccc}\text { MIarch } 1&&\text { Record of Switches During March to }\\\text { Choice } & \text { Number } & \text { NBC } & \text { CBS } & \text { Other } \\\hline \text { NBC } & 30 & - & 5 & 10 \\\text { CBS } & 40 & 15 & - & 5 \\\text { Other } & 30 & 5 & 5 & -\end{array}$
a.What are the numbers in each choice for April 1?
b.What is the transition matrix?
c.What ratings percentages do you predict for May 1?