Discuss the below:
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?