The professor of a introductory calculus class has stated that, historically, the distribution of final exam grades in the course resemble aNormal distribution with a mean final exam mark of u = 61% and a standard deviation of g = 10%.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 71%? 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 calculusfinal exam? Use four decimals in your answer.(c) The top 4% of students writing the final exam will receive a letter grade of at least an A in the course. To two decimal places, find theminimum 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 28 final exams, observing the earned mark on each. What is the probability that 7 of these havea final exam grade of less than 50%? Use four decimals in your answer.

X is a random variable that follows the normal distribution with mean μ and SD σ then the z score…

Answered: The professor of a introductory…

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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