A recent study of young executives showed that 30 percent run, 20 percent bike and 12 percent do both. What iş the percent of young executives who run or bike? P(R or B)= PLA)+ PLB) - P(Rand B) : : 30 + .20 - 12 Com
A recent study of young executives showed that 30 percent run, 20 percent bike and 12 percent do both. What iş the percent of young executives who run or bike? P(R or B)= PLA)+ PLB) - P(Rand B) : : 30 + .20 - 12 Com
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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![**Transcription of Exercise on Probability for Young Executives**
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**Exercise 11:**
A recent study of young executives showed the following statistics:
- 30 percent run
- 20 percent bike
- 12 percent engage in both activities
**Problem:**
Determine the percentage of young executives who either run or bike.
**Solution Calculation:**
To find the percentage of young executives who run or bike, use the formula for the probability of either event occurring:
\[ P(R \text{ or } B) = P(R) + P(B) - P(R \text{ and } B) \]
**Values:**
- \( P(R) = 0.30 \)
- \( P(B) = 0.20 \)
- \( P(R \text{ and } B) = 0.12 \)
Calculate:
\[ P(R \text{ or } B) = 0.30 + 0.20 - 0.12 \]
This results in:
\[ P(R \text{ or } B) = 0.38 \]
Therefore, 38 percent of young executives either run or bike.
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Transcribed Image Text:**Transcription of Exercise on Probability for Young Executives**
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**Exercise 11:**
A recent study of young executives showed the following statistics:
- 30 percent run
- 20 percent bike
- 12 percent engage in both activities
**Problem:**
Determine the percentage of young executives who either run or bike.
**Solution Calculation:**
To find the percentage of young executives who run or bike, use the formula for the probability of either event occurring:
\[ P(R \text{ or } B) = P(R) + P(B) - P(R \text{ and } B) \]
**Values:**
- \( P(R) = 0.30 \)
- \( P(B) = 0.20 \)
- \( P(R \text{ and } B) = 0.12 \)
Calculate:
\[ P(R \text{ or } B) = 0.30 + 0.20 - 0.12 \]
This results in:
\[ P(R \text{ or } B) = 0.38 \]
Therefore, 38 percent of young executives either run or bike.
---
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