You are to take a multiple-choice exam consisting of 100 questions with 5 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 distribution does x have? O normal distribution O geometric distribution O binomial distribution O uniform distribution (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 and standard deviation of x. variance standard deviation

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