The recent average starting salary for new college graduates in IT systems is $47,500. Assume salaries are normally distributed with a standard deviation of $4,500. a. What is the probability of a new...

The recent average starting salary for new college graduates in IT systems is $47,500. Assume salaries are normally distributed with a standard deviation of $4,500. a. What is the probability of a new graduate receiving a salary between $45,000 and $50,000? b. What is the probability of a new graduate getting a starting salary in excess of $55,000?

d. What is the cut off for the bottom 5% of the salaries?

e. What is the cut off for the top 3% of the salaries?