Question

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 2.2 million registered voters. Each is asked if he or she is a member of political party​ A, recording Yes or No.

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

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

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

Answer 1

Solution:-

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

Explanation: - Given that n = 600, p = 0.5

"yes, he is" and "no, he is not", and it's either one of the answers that is true, so therefore you have binominal distribution.
The term binominal itself means two names ("bi" = two from Greek, I think and "nomine" is name in Latin) and in terms of statistics it suggests that there are always two mutually exclusive options.