The salaries of the employees of a corporation are normally distributed with a mean of $25,000 and a standard deviation of $5,000.
a. What is the probability that a randomly selected employee will have a starting salary of at least $31,000?
b. What percentage of employees has salaries of less than $12,200?
c. What are the minimum and the maximum salaries of the middle 95% of the employees?
d. If sixty-eight of the employees have incomes of at least $35,600, how many individuals are employed in the corporation?