The Average Starting Salary for This Year's Graduates at a Large

Short Answer

The average starting salary for this year's graduates at a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.
a.What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?
b.Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
c.What are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
d.If 189 of the recent graduates have salaries of at least $32,240, how many students graduated this year from this university?