Almost all companies utilize some type of year-end performance review for their employees. Human Resources (HR) at a university's Health Science Center provides guidelines for supervisors rating their subordinates. For example, raters are advised to examine their ratings for a tendency to be either too lenient or too harsh. According to HR, "if you have this tendency, consider using a normal distributionlong dash—10%of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable." Suppose you are rating an employee's performance on a scale of 1(lowest) to 100 (highest). Also, assume the ratings follow a normal distribution with a mean of 55 and a standard deviation of 13.
Complete parts a
a. What is the lowest rating you should give to an "exemplary" employee if you follow the university's HR guidelines?
____________(Round to two decimal places as needed.)