Vince Yosarian works for the Bureau of Forms. His manager has reprimanded Vince because she feels that he has not performed up to standard for processing forms at the bureau, the crucial part of the job. At the bureau, the number of forms processed by employees is normally distributed, with a mean of 67 forms per employee per day and a standard deviation of 7. His manager has calculated that Vince’s average rate is 50 forms processed per day. What percentage of employees at the bureau process fewer forms than Vince? What percentage of employees at the bureau process more forms than Vince? Does the manager’s complaint seem justified or not?
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