Question: The average starting salary for this years graduates at a large university (LU) is $30,000 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 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?