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Normally distributed Base Salary for Brand Managers

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According to Salary Wizard, the average base salary for a brand manager in Houston, Texas is $88,592 and the average base salary for a brand manager is Los
Angeles, California, is $97,417. assume salaries are approximately normally distributed, that the standard deviation for brand managers in Houston is $19,900,
and that the standard deviation for brand managers in Los Angeles is $21,800.

a. What is the probability that a brand manager is Houston has a base salary in excess of $100,000?

b. What is the probability that a brand manager in Los Angeles has a base salary in excess of $100,000?

c. What is the probability that a brand manager is Los Angeles has a base salary of less than $75,000?

d. How much would a brand manager in Los Angeles have to make in order to have a higher salary than 99% of the brand managers in Houston?

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The solution examines the normally distributed base salary for Brand Managers.

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