Graduate Record Exam (GRE) scores for the psychology exam have a mean of 592 and a standard deviation of 101.Please show work and be sure to identify the associated Z scores as well as the p value so that you can earn as many points as possible.

a. What proportion of the test takers would have scores of 650 or above? b. What proportion of the test takers would have scores of 700 or above? c. What proportion of the test takers would have scores between 650 and 700? d. If 10,000 took the exam, how many would be expected to have scores of 750 or above?