Suppose that Professors Wells and Zeddes have final exam scores that are approximately normally distributed with mean 75. The standard deviation of Wells's scores is 10 and the standard deviation of Zeddes's scores is 5.

a.With which professor is a score of 90 on the final exam more impressive? Support your answer with appropriate probability calculations and with a well-labeled sketch.

b.With which professor is a score of 60 more discouraging? Again, support your answer with the appropriate probability calculations and with a well-labeled sketch.