Week 5 Question 3 (10 marks) 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? (3 marks) HCLMES INSTITUTE b. What is the probability that a randomly selected LU graduate will have a salary of exactly $30,400? (2 marks) 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? (2 marks) d. If 189 of the recent graduates have salaries of at least $32240, how many students graduated this year from this university