3. Physics I is a traditional "weed-out" course for the College of Engineering at State U. 58% of students pass the course on their first attempt. For these students, 70% eventually earn their degree in engineering from the school. Of the students who do not pass the course on the first attempt, only 23% wind up earning an engineering degree from the school. What is the likelihood a randomly selected degree recipient did not pass Physics I on the first attempt?
3. Physics I is a traditional "weed-out" course for the College of Engineering at State U. 58% of students pass the course on their first attempt. For these students, 70% eventually earn their degree in engineering from the school. Of the students who do not pass the course on the first attempt, only 23% wind up earning an engineering degree from the school. What is the likelihood a randomly selected degree recipient did not pass Physics I on the first attempt?
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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Question 3 - Bayes’ Theorem
Please solve the problem with simple probability rules (no Excel)
Transcribed Image Text:**Problem 3: Physics I Course Analysis for Engineering Students**
Physics I is commonly regarded as a traditional "weed-out" course within the College of Engineering at State University. This means that it is a challenging class intended to identify students who may struggle with the rigor of the engineering curriculum early in their academic career.
**Statistics:**
- **Pass Rate on First Attempt:** 58% of students successfully pass Physics I on their first try.
- **Degree Completion for First-time Passers:** Of these students, 70% eventually earn an engineering degree from State University.
- **Degree Completion for Non-first-time Passers:** For those who do not pass the course on their first attempt, only 23% manage to earn an engineering degree from the university.
**Question:**
What is the likelihood that a randomly selected engineering degree recipient did not pass Physics I on their first attempt?
**Analysis:**
To solve this, we will use conditional probabilities. Let "A" be the event that a student earns an engineering degree, and "B" be the event that a student does not pass Physics I on the first attempt. We seek to find P(B|A), the probability that a student did not pass Physics I on their first attempt given that they earned an engineering degree.
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