Final grades in Professor John's course are calculated as a weighted average of the midterm and final exam. The midterm

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Final Grades In Professor John S Course Are Calculated As A Weighted Average Of The Midterm And Final Exam The Midterm 1 (100.9 KiB) Viewed 79 times

Final grades in Professor John's course are calculated as a weighted average of the midterm and final exam. The midterm is weighted at 40 percent and the final is weighted at 60 percent. Grades on the midterm exam were normally distributed with u., = 60 and 0 =15. Grades on the final exam were also normally distributed with u, = 75 and oʻ = 20. a) Calculate the average final grade in Professor John's course. b) Calculate the variance of final grades. c) What do you expect the exact variance of final grades to be? Why?