For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of500 and a standard deviation of180. The grading process of this year's exam has just begun. The average score of the35 exams graded so far is540. What is the probability that a sample of35 exams will have a mean score of540 or more if the exam scores follow the same distribution as in the past?Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.