Answered: In February 2022, suppose that a group…

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

In February 2022, suppose that a group of 100 students are taking UCR test as follows: 40 are taking Econ 107 , 40 are taking Econ 105B , and the remaining students are taking Econ 104A . Suppose the grades are given as follows: Econ 107 results: 10 students scored 60 out of 100 points, 20 students scored 80 out of 100 points, and rest scored 90 out of 100 points. Econ 105B results: 30 students scored 80 out of 100 points, 5 students scored 90 out of 100 points, and rest scored 100 out of 100 points. Econ 104A results: 10 students scored 88 out of 100 points, 5 students scored 80 out of 100 points, and rest scored 96 out of 100 points. Give the information above, please solve the following questions: i. Find all marginal and joint probabilities for each class and grade? ii. Find the probability of that the grade is 60 given that students are taking Econ107 ? Find the probability that a student is taking 104A given that he/she scored 80 points? iii. Find the mean and the variance of all grades? iv. Find the mean and the variance of grades for Econ 105B?

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