You are to take a multiple-choice exam consisting of 64 questions with 2 possible responses to each question. Suppose that you have not studied and so must guess (select one of the two answers in a completely random fashion) on each question. Let x represent the number of correct responses on the test
(a) What is your expected score on the exam? (Hint: Your expected score is the mean value of the x distribution.)
32
(b) Compute the variance and standard deviation of x.
Variance = 25
Standard deviation = 5