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TOTALLY IMAGINARY CLASS THAT YOU ARE NOT IN Students who actively use class resources (Q&A, discussion, tutoring) Student who do not actively use class resources . ● Students who feel comfortable with concepts in the class 81 17 (???) students who feel comfortable with concepts in the class Students who do not feel comfortable with concepts in the class (???) (???) 89 students who actively use class resources (???) students who do not actively use class resources (???) students who do not feel comfortable with concepts in the class What is the probability that a randomly chosen student in the class feels comfortable with the concepts? How does the probability that a student feels comfortable with the concepts change, if you choose only from those students who actively use class resources? (Hint: Write this as a conditional probability, and consider it in the different representations, as well as using the formula.) What is the probability that a randomly chosen student who does not feel comfortable with the material in the class, is not actively using class resources? Demonstrate this using each of the three representations of the data (table, Venn diagram, and tree), then compare to the formula for Bayes' Theorem. 200 total students in the class

TOTALLY IMAGINARY CLASS THAT YOU ARE NOT IN Students who actively use class resources (Q&A, discussion, tutoring) Student who do not actively use class resources . ● Students who feel comfortable with concepts in the class 81 17 (???) students who feel comfortable with concepts in the class Students who do not feel comfortable with concepts in the class (???) (???) 89 students who actively use class resources (???) students who do not actively use class resources (???) students who do not feel comfortable with concepts in the class What is the probability that a randomly chosen student in the class feels comfortable with the concepts? How does the probability that a student feels comfortable with the concepts change, if you choose only from those students who actively use class resources? (Hint: Write this as a conditional probability, and consider it in the different representations, as well as using the formula.) What is the probability that a randomly chosen student who does not feel comfortable with the material in the class, is not actively using class resources? Demonstrate this using each of the three representations of the data (table, Venn diagram, and tree), then compare to the formula for Bayes' Theorem. 200 total students in the class

A First Course in Probability (10th Edition)
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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I'm asking for help on the 3 bullet points below the chart pleae

**Totally Imaginary Class Data Analysis** This table showcases the relationship between students' use of class resources and their comfort with class concepts. It helps in understanding the impact of resource utilization on learning. ### Table Explanation - **Columns:** - "Students who feel comfortable with concepts in the class" - "Students who do not feel comfortable with concepts in the class" - **Rows:** - "Students who actively use class resources (Q&A, discussion, tutoring)" - "Students who do not actively use class resources" **Data Overview:** 1. **Students who actively use class resources and feel comfortable:** 81 2. **Students who do not actively use resources and feel comfortable:** 17 3. **Total students who actively use resources:** 89 4. **Total students in the class:** 200 ### Missing Data Points - Values in question marks (???) represent unknown quantities for: - Students who actively use resources but do not feel comfortable - Students who do not actively use resources or feel comfortable ### Questions for Analysis 1. **Probability of Comfort with Concepts:** - Calculate the likelihood that a randomly chosen student feels comfortable with the concepts. 2. **Effect of Active Resource Use:** - Examine how the probability of feeling comfortable changes among students who actively use resources through conditional probability. 3. **Probability of Discomfort Without Resources:** - Determine the probability that a student who does not feel comfortable is also not using class resources. - Use different representations (table, Venn diagram, tree) and compare to Bayes' Theorem for analysis. This analysis encourages exploring data representation methods and provides insight into the effectiveness of resource utilization in improving student comfort with class material.
Transcribed Image Text:**Totally Imaginary Class Data Analysis** This table showcases the relationship between students' use of class resources and their comfort with class concepts. It helps in understanding the impact of resource utilization on learning. ### Table Explanation - **Columns:** - "Students who feel comfortable with concepts in the class" - "Students who do not feel comfortable with concepts in the class" - **Rows:** - "Students who actively use class resources (Q&A, discussion, tutoring)" - "Students who do not actively use class resources" **Data Overview:** 1. **Students who actively use class resources and feel comfortable:** 81 2. **Students who do not actively use resources and feel comfortable:** 17 3. **Total students who actively use resources:** 89 4. **Total students in the class:** 200 ### Missing Data Points - Values in question marks (???) represent unknown quantities for: - Students who actively use resources but do not feel comfortable - Students who do not actively use resources or feel comfortable ### Questions for Analysis 1. **Probability of Comfort with Concepts:** - Calculate the likelihood that a randomly chosen student feels comfortable with the concepts. 2. **Effect of Active Resource Use:** - Examine how the probability of feeling comfortable changes among students who actively use resources through conditional probability. 3. **Probability of Discomfort Without Resources:** - Determine the probability that a student who does not feel comfortable is also not using class resources. - Use different representations (table, Venn diagram, tree) and compare to Bayes' Theorem for analysis. This analysis encourages exploring data representation methods and provides insight into the effectiveness of resource utilization in improving student comfort with class material.
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