Answer the following questions. For Parts e) to h), use a graphing calculator or other statistical software. 8) A multiple choice test has 12 questions each of which has 4 possible answers, only one of which is correct. Assume an unprepared student guesses on all questions, answer the following questions. a) What is the mean for the binomial distribution? ( h . P ) = 12.04 : 0.48 b) What is the variance for the binomial distribution?= 6.0401 e) What is the probability that the student will answer at least 6 questions correctly? f) What is the probability that the student will answer at most 6 questions correctly? g) What is the probability that the student will answer more than 6 questions correctly? h) What is the probability that the student will answer less than 6 questions correctly