ou are to take a multiple-choice exam consisting of 64 questions with two possible responses to each question. Suppose that you have not studied and so must guess (select one of the two answers a completely random fashion) on each question. Let x represent the number of correct responses on the test. A USE SALT (a) What kind of probability distribution does x have? binomial geometric (b) What is your expected score on the exam? (Hint: Your expected score is the mean value of the x distribution.) (c) Calculate the variance of x. Calculate the standard deviation of x.

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