TV Ratings The television show West Wing has a 15 share, meaning that while it is being broadcast, 15% of the TV sets in use are tuned to West Wing (based on data from Nielsen Media Research). A special focus group consists of 20 randomly selected households (each with one TV set in use during the time of a West Wing broadcast).

a. What is the expected number of sets tuned to West Wing?

b. In such groups of 20, what is the mean number of sets tuned to West Wing?

c. In such groups of 20, what is the standard deviation for the number of sets tuned to West Wing?

d. For such a group of 20, find the probability that exactly 5 TV sets are tuned to West Wing.

e. For such a group of 20, would it be unusual to find that no sets are tuned to West Wing? Why or why not?