Almost all companies utilize some type ofyear-end performance review for their employees. Human Resources(HR) at auniversity's Health Science Center provides guidelines for supervisors rating their subordinates. Forexample, raters are advised to examine their ratings for a tendency to be either too lenient or too harsh. According toHR, "if you have thistendency, consider using a normal distributionlong dash10%

of employees(rated) exemplary,20% distinguished,40% competent,20% marginal, and10% unacceptable." Suppose you are rating anemployee's performance on a scale of 1(lowest) to 100(highest). Also, assume the ratings follow a normal distribution with a mean of 54

and a standard deviation of 15.

Complete parts a and b.

a.What is the lowest rating you should give to an"exemplary" employee if you follow theuniversity's HRguidelines? b. What is the lowest rating you should give to a"competent" employee if you follow theuniversity's HR guidelines?