Determine whether or not the procedure described below resul

Determine whether or not the procedure described below results in a binomial distribution. If it is not binomial, identify at least one requirement that is not satisfied. Seven hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 2.6 million

registered voters. Each is asked if he or she is a member of political party A.

Choose the correct answer below.

A. No, there are more than two possible outcomes.

B. Yes comma the result is a binomial probability distribution.

C. No comma the trials are not independent and the sample is more than 5 % of the population.

D. No, the number of trials is not fixed.

E. No, the probability of success is not the same in all trials.

Solution

Asking if he or she is a member of political party A means that the answer can be Yes or a No. So 2 possible outcomes. Also, number of trails is fixed to 700 and the outcomes among 700 people are independent of each other and there is a uniform probability of being a member of Party A (Yes).

So, correct answer:

B. Yes comma the result is a binomial probability distribution.