Determine whether or not the procedure described below results in a binomial dis

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. Seven hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 8000 registered voters. Each is asked if he or she is a member of political party A, recording Yes or No.

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

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

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

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

E. No, there are more than two possible outcomes

Explanation / Answer

The trials are independent since sample is randomly selected. Number of trials is fixed and there can be only two outcomes: Yes or no. Also, the probability of success is same for all trials.

Hence,

All the conditions of binomial distribution is getting fulfilled.

So,

Yes, the result is a binomial probability distribution.

Option D is correct.

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