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During a class a teacher decided to give his students an unscheduled (“pop”) qui

ID: 3065933 • Letter: D

Question

During a class a teacher decided to give his students an unscheduled (“pop”) quiz. The students had not studied so they decided to just randomly guess at the answers. The quiz contained 8 multiple-choice questions each with four possible choices, p=0.25. Let X represent the number of correct answers.

4a) Does this situation fit the binomial setting? To justify your answer write four complete sentences with each addressing one of the four binomial setting requirements in the context of this situation.

Explanation / Answer

Yes this is binomial distribution.

Because the experiment consists of 8 identical multiple choice questions.

Each question results in one of the two outcomes correct and incorrect answers.

The 8 mutiple choce questions are independent.

The probabilty of correct answer p = 0.25, is same for each outcome.

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