**Conditional Probability in a Math Class**In this example, we will explore conditional probability in the context of a math class.**Problem Statement:**Suppose a math class contains 42 students, with details as follows:- There are 18 females. - Out of these 18 females, 6 speak French.- There are 24 males. - Out of these 24 males, 4 speak French.The total number of students who speak French (both male and female) is 10.We need to compute the probability that a randomly selected student is female, given that the student speaks French.**Let's break down the problem:**1. **Total number of students:** 422. **Total number of females:** 183. **Total number of males:** 244. **Number of females who speak French:** 65. **Number of males who speak French:** 46. **Total number of students who speak French:** 6 (females) + 4 (males) = 10**Approach to solve:**To find the probability that a randomly selected student is female, given that the student speaks French, we use the formula for conditional probability:\[ P(\text{Female} | \text{Speak French}) = \frac{P(\text{Female and Speak French})}{P(\text{Speak French})} \]where:- \( P(\text{Female and Speak French}) \) is the probability that a student is both female and speaks French.- \( P(\text{Speak French}) \) is the probability that a student speaks French.**Calculations:**1. \( P(\text{Female and Speak French}) = \frac{\text{Number of females who speak French}}{\text{Total number of students}} = \frac{6}{42} = \frac{1}{7} \)2. \( P(\text{Speak French}) = \frac{\text{Total number of students who speak French}}{\text{Total number of students}} = \frac{10}{42} = \frac{5}{21} \)So,\[ P(\text{Female} | \text{Speak French}) = \frac{P(\text{Female and Speak French})}{P(\text{Speak French})} = \frac{\frac{1}{7}}{\frac{5

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Description: **Conditional Probability in a Math Class**In this example, we will explore conditional probability in the context of a math class.**Problem Statement:**Suppose a math class contains 42 students, with details as follows:- There are 18 females. - Ou

given that , total students =42 , female students = 18, male students = 24. Female students who can…

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Suppose a math class contains 42 students, 18 females (six of whom speak French) and 24 males (four of whom speak French). Compute the probability that a randomly selected student is female, given that the student speaks French.

Suppose a math class contains 42 students, 18 females (six of whom speak French) and 24 males (four of whom speak French). Compute the probability that a randomly selected student is female, given that the student speaks French.

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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