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.

Five hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of2.7 million registered voters. Each is asked if he or she is a member of political party A.

Choose the correct answer below.

A.

No, the number of trials is not fixed.

B.

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

C.

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

D.

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

E.

No, there are more than two possible outcomes.

Solution

Binomial Experiment-
A binomial experiment (also known as a Bernoulli trial) is a statistical experiment that has the following properties:
The experiment consists of n repeated trials.
Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
The probability of success, denoted by P, is the same on every trial.
The trials are independent; that is, the outcome on one trial does not affect the outcome on other trials.

          
D.
Yes comma the result is a binomial probability distribution.Yes, the result is a binomial probability distribution.