According to a market-share study, 13% of televisions in use are tuned to Hockey Night in Canada on Saturday night. Assume that an advertiser wants to verify that 13% market share value by conducting its own survey, and a pilot survey begins with 20 households having TV sets in use at the time of a Hockey Night in Canada broadcast.
a. Find the probability that none of the households are tuned to Hockey Night in Canada.
b. Find the probability that at least one of the households is tuned to Hockey Night in Canada.
c. Find the probability that at most one household is tuned to Hockey Night in Canada.
d. Suppose at most one household is tuned to Hockey Night in Canada. Does it appear that the claimed 13% share value is mistaken? Why or why not?