1.a) What is the probability that a brand manager in Houston has a base salary in excess of $110,000?

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.

1.a)  What is the probability that a brand manager in Houston has a base salary in excess of $110,000?

2.b)  What is the probability that a brand manager in Los Angeles has a base salary in excess of$105,000?

3.c)  What is the probability that a brand manager in Houston has a base salary of less than $80,000?

4.d)  How much would a brand manager in Los Angeles have to make in order to have a higher salary than 96% of the brand managers in Houston?