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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 u 64% and a standard deviation of σ = 11%. = 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) In order to pass this course, a student must have a final exam mark of at least 50%. What proportion of students will not pass the calculus final exam? Use four decimals in your answer. (c) The top 5% 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. % (d) Suppose this professor randomly picked 29 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 Normal distribution with a mean final exam mark of u 64% and a standard deviation of σ = 11%. = 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) In order to pass this course, a student must have a final exam mark of at least 50%. What proportion of students will not pass the calculus final exam? Use four decimals in your answer. (c) The top 5% 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. % (d) Suppose this professor randomly picked 29 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 = 64% and a standard deviation of μl o = 11%. 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) In order to pass this course, a student must have a final exam mark of at least 50%. What proportion of students will not pass the calculus final exam? Use four decimals in your answer. (c) The top 5% 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. % (d) Suppose this professor randomly picked 29 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.
Transcribed Image Text: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 = 64% and a standard deviation of μl o = 11%. 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) In order to pass this course, a student must have a final exam mark of at least 50%. What proportion of students will not pass the calculus final exam? Use four decimals in your answer. (c) The top 5% 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. % (d) Suppose this professor randomly picked 29 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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