Question: TV Viewer Surveys

The CBS television show 60 Minutes has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to 60 minutes (based on data from Nielsen Media Research). Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 10 households having TV sets in use at the time of a 60 Minutes broadcast.

a. Find the probability that none of the households are tuned to 60 Minutes.

b. Find the probability that at least one of the households is tuned to 60 Minutes.

c. Find the probability that at most one household is tuned to 60 Minutes.

d. If at most one household is tuned to 60 Minutes, does it appear that the 20% share value is wrong? Why or why not?