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 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.

Explanation / Answer

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.

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