Sports and Leisure
The reality television series Splash! features celebrities attempting to learn how to dive. The first episode aired in January 2013 and earned a 23.6% audience share. That is, 23.6% of all TVs in use during the show time period were tuned to a station airing Splash!. 27 Twenty people who watched TV during that time period were selected at random.
a. Find the probability that at least six watched Splash!.
b. Find the expected number of people who watched Splash!. Find the probability that the number of people who watched Splash! is less than the mean.
c. Suppose that at most four people watched Splash!. What is the probability that no one watched Splash!?