### Probability and Statistics: Gender and Grade Distribution#### Given Data:A study was conducted where a group of students was administered a test, and the summary of their grades and gender is tabulated below:| | A | B | C | Total ||--------|-----|-----|-----|-------|| Male | 3 | 8 | 14 | 25 || Female | 19 | 20 | 6 | 45 || **Total** | **22** | **28** | **20** | **70** |#### Problem:If one student is chosen at random from this group, find the probability that the student selected is a female and received a "B" grade.#### Solution:Total number of students = 70Number of females who received a "B" grade = 20The probability of selecting a female student who got a "B" grade is calculated as follows:\[ \text{Probability (Female and B)} = \frac{\text{Number of females who got B}}{\text{Total number of students}} = \frac{20}{70} = 0.2857 \]**Conclusion:**The probability that a randomly selected student from this group is a female who received a "B" grade is 0.2857 (rounded to four decimal places).#### Interactive Component:Please verify your understanding by submitting your answer:```Enter your answer: 0.2857Submit Question```#### Additional Notes:- Ensure all probability answers are rounded to four decimal places if required.- Review the table and counts carefully for accurate calculations.

Required probability is P(Female AND got a 'B')

Answered: Giving a test to a group of students,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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