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 2.7 million registered voters. Each is asked if he or she is a member of political party A.

Choose the correct answer below

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

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

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.No, the number of trials is not fixed.

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

Explanation / Answer

Correct Answer: Option (A) since

i) Each trail hase two mutually exclusive events

ii) trails are independent

iii) n = 700 must be finte

iv) Probability of success for each trail is same

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