Question: Duane Verbosity, the local member of Congress serving Prescott County and west-central Florida, is also an avid hunter, and a frequent speaker at the local National Rifle Association (NRA) monthly “Shoot ‘em up” meeting at the local Farm Bureau office. Duane does not support the current assault weapons ban (are you surprised?). He thinks that at least 60 percent of the good citizens of his district, in fact, support doing away with the assault weapons ban. Duane recently said to a reporter from the Prescott Daily Disappointment, “Why I believe that the good folks of Prescott really want to have more automatic machine pistols to go gator hunting.” But, in a recent poll of the residents of a similar congressional district just east of Tampa, the voters indicated that only 44 percent were in favor of doing away with the assault weapons ban.

A. Assuming that Congressman Verbosity is correct, what is the probability that at least half of a group of 400 registered voters in Prescott County would be in favor of doing away with the assault weapons ban?