Home » According to a Salary Survey Study, the average base salary for a brand manager in Houston, Texas, is \$89,250 and the average base salary for a brand…

# According to a Salary Survey Study, the average base salary for a brand manager in Houston, Texas, is \$89,250 and the average base salary for a brand…

According to a Salary Survey Study, the average base salary for a brand manager in Houston, Texas, is \$89,250 and the average base salary for a brand manager in Los Angeles, California, is \$99,500. Assume that salaries are normally distributed, the standard deviation for the salaries brand managers in Houston is \$21,325, and the standard deviation for brand managers in Los Angeles is \$19,675.

1. What is the probability that a brand manager in Houston has a base salary in excess of \$112,150?  [4 points]
2. What is the probability that a brand manager in Los Angeles has a base salary in excess of \$97,175 but less than \$105,825?  [5 points]
3. What is the probability that a brand manager in Houston has a base salary of less than \$81,750?  [3 points]
4. How much would a brand manager Mr. John Roberts in Los Angeles have to make in order to have a salary higher than 96.5% of the brand managers in Houston?  [4 points]
5. What percentage of brand managers in LA earns a salary that is higher than what Mr. John Roberts earns (from part d) above?

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