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A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually

A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually more candidates who complete the interview process than the number of newly available positions. As a result, cumulative GPA is used as a tie-breaker. GPAs for the successful interviewees are Normally distributed, with a mean of 3.33 and a standard deviation of 0.20. a) (3 pts) What is the proportion of candidates with a GPA between 3.13 and 3.53? Use the 68-95-99.7 rule for Normal distributions. b) (3 pts) What is the proportion of candidates with a GPA above 2.93? Use the 68-95-99.7 and draw a picture that illustrates your rationale. c) (4 pts) How high must be a candidate GPA be to be placed in the top 5% of all successful interviewees? Use Table A from the textbook. Show all your work.

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