The mean hourly pay rate for financial managers in the East North Central region is $48.93, and the standard deviation is $2.76. Assume that pay rates are normally distributed.
a. What is the probability a financial manager earns between $45 and $52 per hour?
b. How high must the hourly rate be to put a financial manager in the top 10% with respect to pay?
c. For a randomly selected financial manager, what is the probability the manager earned less than $43 per hour?