salary for a brand manager

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?

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