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You are to take a multiple-choice exam consisting of 100 questions with five possible responses to...

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Basic Math

You are to take a multiple-choice exam consisting of 100questions with five possible responses to each. Suppose that youhave not studied and so must guess (select one of the five answersin a completely random fashion) on each question. Let r.v. Xrepresent the number of correct responses on the exam.

  1. (a). Specify the probability distribution of X.

  2. (b. What is your expected number of correct responses?

  3. (c). What are the values of the variance and standard deviationof X?

  4. (d). What is the probability that you will get exactly theexpected number of correct responses?

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