Answered: The results of a calculus exam are…

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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Question

The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation of 6. You plan to randomly select one of the learners taking the course.

What is the probability you randomly select a learner that scored above an 80 on their exam?

What is the probability you randomly select a learner that scored between a 66 and 90 on their exam?

Given that a passing score is 60 and higher, what is the probability you randomly select a learner that failed the exam?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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