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 wonʹt is 0.30.
A)I only
B)I, II, and III
C)II only
D)III only

Question

Quizplus · Accepted Answer

The binomial random variable conditions include having two outcomes (vote or not vote), independence of each trial (each voter's decision is independent of others), and a constant probability of success (0.70 for voting, 0.30 for not voting) across trials.

A Recent Study Suggested That 70% of All Eligible Voters