Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is XXXXXXXXXXdollars. Assume...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 168000 dollars. Assume the standard deviation is 41000 dollars. Suppose you take a simple random sample of 53 graduates.


Find the probability that a single randomly selected salary is at least 163000 dollars.

P(X > 163000) =


Find the probability that a sample of size n=53 is randomly selected with a mean that is at least 163000 dollars.

P(M > 163000) =


Enter your answers as numbers accurate to 4 decimal places.