According to a Salary Survey Study, the average base salary for a brand manager in
Houston, Texas, is $89,692 and the average base salary for a brand manager in Los Angeles,
California, is $99,617. Assume that salaries are normally distributed, the standard deviation for brand
managers in Houston is $19,800, and the standard deviation for brand managers in Los Angeles is
$21,900.
a) What is the probability that a brand manager in Houston has a base salary in excess of $110,000?
b) What is the probability that a brand manager in Los Angeles has a base salary in excess of
$105,000?
c) What is the probability that a brand manager in Houston has a base salary of less than $80,000?
d) How much would a brand manager in Los Angeles have to make in order to have a higher salary
than 96% of the brand managers in Houston?