Question: You are to take a multiple choice exam consisting of 100 questions with five possible responses to each question. Suppose that you have not studied

You are to take a multiple choice exam consisting of 100 questions with five possible responses to each question. Suppose that you have not studied and so must guess (randomly select one of the five answers) on each question. Let x represent the number of correct responses on the test.
a. What kind of probability does x have?
b. What is your expected score on the exam?
c. Compute the variance and standard deviation of x.
d. Based on your answers to Parts (b) and (c), is it likely that you would score over 50 on this exam? Explain the reasoning behind your answer.

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a This is a binomial distribution with n 100 and p 020 b The expected score is x np 1... View full answer

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