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. Which of the following is necessary for this problem to be analyzed using the binomial random variable?
I. There are two outcomes possible for each of the 20 voters sampled.
II. The outcomes of the 20 voters must be considered independent of one another.
III. The probability a voter will actually vote is 0.70, the probability they won't is 0.30.
A) I, II, and III
B) I only
C) III only
D) II only

Question

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. Which of the following is necessary for this problem to be analyzed using the binomial random variable?
I. There are two outcomes possible for each of the 20 voters sampled.
II. The outcomes of the 20 voters must be considered independent of one another.
III. The probability a voter will actually vote is 0.70, the probability they won't is 0.30.
A) I, II, and III 
B) I only 
C) III only 
D) II only

Quizplus · Accepted Answer

For a binomial distribution, there must be two possible outcomes (I), the trials must be independent (II), and the probability of success must be constant (III).

A Recent Study Suggested That 70% of All Eligible Voters