Question

M- 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.Six hundred different voters in a region with two major political​ parties, A and​ B, are randomly selected from the population of 5500 registered voters. Each is asked if he or she is a member of political party

A. Yes, the result is a binomial probability distribution.B. No, the trials are not independent and the sample is more than 5% of the population.C. ​No, there are more than two possible outcomes.D. ​No, the number of trials is not fixed.E. No, the probability of success is not the same in all trials

Answer 1

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

Explanation:

The experiment above depicts a binomial probability distribution because the 4 required conditions are met :

1.) The distribution is independent as the possible outcome of each trial is the same.

2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No

3.) The number of observation is fixed at sample size of 5500

4.) The probability of success and failure of each trial is the same for all trials in the sample.

Hence, we can conclude that the experiment depicts a binomial probability distribution.