A company that offers courses to prepare would-be MBA students for the Graduate Management Admission Test (GMAT) finds that 30% of its customers are currently undergraduate students and 70% are college graduates. After completing the course, 40% of the undergraduates and60% of the graduates achieve scores of at least 600 on the GMAT. A former customer is randomly selected. What is the probability that the customer had a score of at least 600? Round your answer to three decimal places.