Suppose two friends, michael and austin, are arguing about michael's supposed trivia prowess. michael, a trivia fanatic, wishes to prove his vast trivia knowledge by answering a series of trivia questions. to test this, austin purchases a book of trivia questions and randomly selects 100 to ask michael. assume that for each question, the probability that michael gives the correct answer is 0.85 . what is the probability that michael will answer at least 80 questions correctly? use the normal approximation to obtain the result. give your answer as a decimal precise to at least three decimal places.