The television show Lett3rs has been successful for many years. That show recently had a share of 30, meaning that among the TV sets in use, 30% were tuned to Lett3rs. Assume that an advertiser wants to verify that 30% share value by conducting its own survey, and a pilot survey begins with 13 households have TV sets in use at the time of a Lett3rs broadcast. (Round answers to four decimal places) Find the probability that none of the households are tuned to Lett3rs. P(none) = Find the probability that at least one household is tuned to Lett3rs. P(at least one) = Find the probability that at most one household is tuned to Lett3rs. P(at most one) = If at most one household is tuned to Lett3rs, does it appear that the 30% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?)

• no, it is not wrong
• yes, it is wrong