The television show Degenerate Housewives has been successful for many years. That show recently had a share of 18, meaning that among the TV sets in use, 18% were tuned to Degenerate Housewives. Assume that an advertiser wants to verify that 18% share value by conducting its own survey, and a pilot survey begins with 12 households have TV sets in use at the time of a Degenerate Housewivesbroadcast.

Find the probability that none of the households are tuned to Degenerate Housewives.
P(none) =

Find the probability that at least one household is tuned to Degenerate Housewives.
P(at least one) =

Find the probability that at most one household is tuned to Degenerate Housewives.
P(at most one) =

If at most one household is tuned to Degenerate Housewives, does it appear that the 18% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Degenerate Housewives unusual?)