## Test Scores by GenderA test was given to a group of students. The grades and gender are summarized below:| | A | B | C | Total ||-------|----|----|----|-------|| Male | 16 | 19 | 14 | 49 || Female| 20 | 11 | 2 | 33 || Total | 36 | 30 | 16 | 82 |- **Explanation:** This table outlines the distribution of grades (A, B, C) among male and female students, along with the total number of students for each category.### Probability ProblemIf one student is chosen at random from those who took the test, find the probability that the student was male **given** they got a 'C'.To solve this, you need to compare the number of males who got a 'C' with the total number of students who received a 'C'. The conditional probability is calculated as follows: \[ P(\text{Male | C}) = \frac{\text{Number of males who got a 'C'}}{\text{Total number of students who got a 'C'}} \]Given data: - Number of males who got a 'C' = 14- Total number of students who got a 'C' = 16Thus, the probability is \(\frac{14}{16} = \frac{7}{8}\).

A B C total male 16 19 14 49 female 20 11 2 23 total 36 30 16 80

Answered: A test was given to a group of…

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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A test was given to a group of students. The grades and gender are summarized below A Male 16 19 14 Female 20 11 2 Total 36 30 16 B C 89 Total 49 33 82 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got a 'C'.