A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters are randomly selected from the population of all eligible voters.

a. Analyze the potential outcomes for the sample using the binomial random variable.

b. Use a binomial probability table to find the probability that more than 12 of the eligible voters sampled will vote in the next presidential election.

c. Use a binomial probability table to find the probability that more than 10 but fewer than 16 of the 20 eligible voters sampled will vote in the next presidential election.