The professor of a introductory calculus class has stated that, historically, the distribution of final exam grades in the course resemble a Normal distribution with a mean final exam mark of μ=60% and a standard deviation of σ=9%. If using/finding z-values, use three decimals. (a) What is the probability that a random chosen final exam mark in this course will be at least 72%? Answer to four decimals. (b) The top 2% of students writing the final exam will receive a letter grade of at least an A in the course. To two decimal places, find the minimum final exam mark needed on the calculus final to earn a letter grade of at least an A in the course. __________% (c) Suppose this professor randomly picked 27 final exams, observing the earned mark on each. What is the probability that 6 of these have a final exam grade of less than 50%? Use four decimals in your answer
The professor of a introductory calculus class has stated that, historically, the distribution of final exam grades in the course resemble a
If using/finding z-values, use three decimals.
(a) What is the probability that a random chosen final exam mark in this course will be at least 72%? Answer to four decimals.
(b) The top 2% of students writing the final exam will receive a letter grade of at least an A in the course. To two decimal places, find the minimum final exam mark needed on the calculus final to earn a letter grade of at least an A in the course. __________%
(c) Suppose this professor randomly picked 27 final exams, observing the earned mark on each. What is the probability that 6 of these have a final exam grade of less than 50%? Use four decimals in your answer.
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