Salaries for teachers in a particular elementary school district are normally distributed with a mean of $45,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district....

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $45,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.)