Question: Hello! Please show all work because I would like to understand how to work this problem I'm the future. Thank you so much. According to

Hello! Please show all work because I would like to understand how to work this problem I'm the future. Thank you so much.

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 salarythan 96% of the brand managers in Houston?

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