how do i solve for ALL parts? **Educational Website Content: Probability and Statistics**## Example Scenario: Analyzing Test Scores### Dataset SummaryWe are given data on the grades achieved by a group of students, categorized by gender. The data is summarized in the table below:| | A | B | C | Total ||--------|---|---|----|-------|| **Male** | 14 | 6 | 19 | 39 || **Female** | 3 | 4 | 20 | 27 || **Total** | 17 | 10 | 39 | 66 |### ProbabilitiesUsing the data from the table, we can answer the following probability questions:**1. Find the probability that the student got a C:**P(C) = (Number of students who got a C) / (Total number of students) **2. Find the probability that the student was male AND got a "C":**P(Male AND C) = (Number of male students who got a C) / (Total number of students)**3. Find the probability that the student was female OR got an "A":**P(Female OR A) = (Number of females + Number of students who got an A - Number of female students who got an A) / (Total number of students)**4. If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are female:**P(C | Female) = (Number of female students who got a C) / (Total number of female students)---### Worked Example**1. Probability that a randomly chosen student got a C:**\[ P(C) = \frac{39}{66} \]**2. Probability that a male student got a "C":**\[ P(Male \text{ AND } C) = \frac{19}{66} \]**3. Probability that a student was female OR got an "A":**\[ P(Female \text{ OR } A) = \frac{27 + 17 - 3}{66} \]**4. Probability that a student got a 'C' given they are female:**\[ P(C | Female) = \frac{20}{27} \]

Answered: Image /qna-images/answer/573cc7ca-4b4c-4a79-8f4a-af3302c1a87c.jpg

Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 14 6 19 39 Female 3 4 20 27 Total 17 10 39 66 If one student is chosen at random, Find the probability that the student got a C: Find the probability that the student was male AND got a "C": Find the probability that the student was female OR got an "A": If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are female:

Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 14 6 19 39 Female 3 4 20 27 Total 17 10 39 66 If one student is chosen at random, Find the probability that the student got a C: Find the probability that the student was male AND got a "C": Find the probability that the student was female OR got an "A": If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are female:

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section11.1: Measures Of Center And Variation

Problem 31E

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