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Essentials of Modern Business Statistics
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 in Los Angeles, California, is $\$ 97,417$ (Salary Wizard website, February $27,2008 ) .$ Assume that salaries are normally distributed, the standard deviation for brand managers in Houston is $\$ 19,900,$ and the standard
deviation for brand managers in Los Angeles is $\$ 21,800 .$
a. What is the probability that a brand manager in 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 in 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?