CBS televised a recent Super Bowl football game between the New Orleans Saints and the Indianapolis Colts. That game received a rating of 45, indicating that among all U.S. households, 45% were tuned to the game (based on data from Nielsen Media Research). An advertiser wants to obtain a second opinion by conducting its own survey, and a pilot survey begins with 12 randomly selected households.
a. Find the probability that none of the households is tuned to the Saints>Colts game.
b. Find the probability that at least one household is tuned to the Saints>Colts game.
c. Find the probability that at most one household is tuned to the Saints>Colts game.
d. If at most one household is tuned to the Saints>Colts game, does it appear that the 45 share value is wrong? Why or why not?