The annual salary for a Chief Executive in May 2022 followed an approximately normal distribution with an average of $247,767 and a standard deviation of $43,685. Suppose we intend to take a random sample of 10 Chief Executives and find its sample mean: x.
What is the probability that our sample average is less than $227,082? (3 decimal places)
A. 0.158
B. 0.841
C. 0.001
D. 0.500