According to a 2011 poll, 55% of Americans do not know that GOP stands for Grand Old Party
(Time, October 17, 2011). Suppose that this result is true for the current population of Americans.
a. Let x be a binomial random variable that denotes the number of people in a random sample of 17 Americans who do not know that GOP stands for Grand Old Party. What are the possible values that x can assume?
b. Find the probability that exactly 8 people in a random sample of 17 Americans do not know that GOP stands for Grand Old Party. Use the binomial probability distribution formula.