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 50 to ask Michael. Assume that for each question, the probability that Michael gives the correct answer is 0.70 . What is the probability that Michael will answer at least 30 questions correctly? Use the normal approximation to obtain the result. Give your answer as a decimal precise to at least three decimal places.