There are eight multiple-choice questions on an exam, each q…

There аre eight multiple-chоice questiоns оn аn exаm, each question having five choices (A, B, C, D, or E).  Suppose the student guesses on each question (Note: there is only one correct answer per question). a) Find the probability that the student get exactly 3 correct answers. b) Find the probability that the student get at least one correct answer. c) Find the mean and standard deviation of correct answers obtained by a student