A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters were randomly selected from the population of all eligible voters. 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.
A) 0.714
B) 0.780
C) 0.845
D) 0.649

Question

Quizplus · Accepted Answer

The probability of more than 10 but fewer than 16 of the 20 eligible voters sampled will vote in the next presidential election is 0.714. This can be found using a binomial probability table, which gives the probability of a given number of successes in a sequence of independent experiments, each of which has a constant probability of success. In this case, the probability of success is 0.7, and the number of experiments is 20. The probability of more than 10 but fewer than 16 of the 20 eligible voters sampled will vote in the next presidential election is the sum of the probabilities of 11, 12, 13, 14, and 15 voters voting, which is 0.714.

A Recent Study Suggested That 70% of All Eligible Voters