statistics

Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn’t know any of the answers. Assuming that Richard guesses on alleight questions, find the indicated probabilities. (Round your answers to three decimal places.)(a) What is the probability that he will answer all questions correctly?(d) What is the probability that Richard will answer at least half the questions correctly?(e) more than 17 out of the next 20 business days