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. What is the probability that a randomly selected LU graduate will have a salary of
exactly $30,400?
c. Individuals with starting salaries of less than $15600 receive a low income tax break. What percentage of the graduates will receive the tax break?
d. If 189 of the recent graduates have salaries of at least $32240, how many students
graduated this year from this university?