Stay in school: In a recent school year in the state of Washington, there were 316,000 high school students. Of these, 151,000 were female and 165,000 were male. Among the females, 48,300 dropped out of school, and among the males, 10,300 dropped out. A student is chosen at random. Round the answers to four decimal places. (a) What is the probability that the student is male? (b) What is the probability that the student dropped out? (c) What is the probability that the student is male and dropped out? (d) Given that the student is male, what is the probability that he dropped out? (e) Given that the student dropped out, what is the probability that the student is male? Part 1 of 5
Stay in school: In a recent school year in the state of Washington, there were 316,000 high school students. Of these, 151,000 were female and 165,000 were male. Among the females, 48,300 dropped out of school, and among the males, 10,300 dropped out. A student is chosen at random. Round the answers to four decimal places. (a) What is the probability that the student is male? (b) What is the probability that the student dropped out? (c) What is the probability that the student is male and dropped out? (d) Given that the student is male, what is the probability that he dropped out? (e) Given that the student dropped out, what is the probability that the student is male? Part 1 of 5
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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![**Stay in School: Understanding Probabilities in Student Dropout Rates**
In a recent school year in the state of Washington, there were 316,000 high school students. Of these, 151,000 were female, and 165,000 were male. Among the females, 48,300 dropped out of school, and among the males, 10,300 dropped out. A student is chosen at random. Round the answers to four decimal places for the following questions:
### Questions and Answers
**(a) What is the probability that the student is male?**
Given:
- Total number of students: 316,000
- Number of male students: 165,000
The probability, \( P(\text{Male}) \), is calculated as:
\[ P(\text{Male}) = \frac{\text{Number of male students}}{\text{Total number of students}} = \frac{165,000}{316,000} = 0.5222 \]
**The probability that the student is male is 0.5222.**
<div>Part 1 of 5</div>
<div>
The probability that the student is male is <input type="text" value="0.5222" disabled/>.
</div>
---
**(b) What is the probability that the student dropped out?**
Given:
- Total number of students: 316,000
- Total number of students who dropped out: 48,300 (females) + 10,300 (males) = 58,600
The probability, \( P(\text{Dropout}) \), is calculated as:
\[ P(\text{Dropout}) = \frac{\text{Number of students who dropped out}}{\text{Total number of students}} = \frac{58,600}{316,000} = 0.1854 \]
**The probability that the student dropped out is 0.1854.**
<div>Part 2 of 5</div>
<div>
The probability that the student dropped out is <input type="text" value="0.1854" disabled/>.
</div>
---
**(c) What is the probability that the student is male and dropped out?**
Given:
- Number of male students: 165,000
- Number of male students who dropped out: 10,300
The probability, \( P(\text{Male](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29a07bd8-eb1c-498d-b0a8-9eb9d6fddf09%2F19e54fa3-a93a-4169-8b44-23a047a63071%2Fcese80r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Stay in School: Understanding Probabilities in Student Dropout Rates**
In a recent school year in the state of Washington, there were 316,000 high school students. Of these, 151,000 were female, and 165,000 were male. Among the females, 48,300 dropped out of school, and among the males, 10,300 dropped out. A student is chosen at random. Round the answers to four decimal places for the following questions:
### Questions and Answers
**(a) What is the probability that the student is male?**
Given:
- Total number of students: 316,000
- Number of male students: 165,000
The probability, \( P(\text{Male}) \), is calculated as:
\[ P(\text{Male}) = \frac{\text{Number of male students}}{\text{Total number of students}} = \frac{165,000}{316,000} = 0.5222 \]
**The probability that the student is male is 0.5222.**
<div>Part 1 of 5</div>
<div>
The probability that the student is male is <input type="text" value="0.5222" disabled/>.
</div>
---
**(b) What is the probability that the student dropped out?**
Given:
- Total number of students: 316,000
- Total number of students who dropped out: 48,300 (females) + 10,300 (males) = 58,600
The probability, \( P(\text{Dropout}) \), is calculated as:
\[ P(\text{Dropout}) = \frac{\text{Number of students who dropped out}}{\text{Total number of students}} = \frac{58,600}{316,000} = 0.1854 \]
**The probability that the student dropped out is 0.1854.**
<div>Part 2 of 5</div>
<div>
The probability that the student dropped out is <input type="text" value="0.1854" disabled/>.
</div>
---
**(c) What is the probability that the student is male and dropped out?**
Given:
- Number of male students: 165,000
- Number of male students who dropped out: 10,300
The probability, \( P(\text{Male
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