For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of510

and a standard deviation of180

. The grading process of this year's exam has just begun. The average score of the40

exams graded so far is540

. What is the probability that a sample of40

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.