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Doctoral Student SalariesFull-time Ph.D. students receive an average of$12,837

per year. If the average salaries are normally distributed with a standard deviation of$1500, find these probabilities. Round the final answers to at least four decimal places and intermediatez-value calculations to two decimal places.

(a) The student makes more than$16,200.

P(X>16,200) =__________________

(b) The student makes between$15,200and$16,200.

P(15,200