Given that a random data scientist from the sample has less than ten years of experience in the industry, what is the probability that they have a graduate degree in a relevant discipline?
Given that a random data scientist from the sample has less than ten years of experience in the industry, what is the probability that they have a graduate degree in a relevant discipline?
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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I don't know how to find the probablity
![### Use a Venn Diagram to Compute Compound and Conditional Probabilities
#### Question:
A survey of a sample of recent hires at major tech companies aims to investigate which applicants are most likely to be hired for positions in data science. The findings of the survey are presented in the Venn diagram below.
#### Venn Diagram Description:
The Venn diagram consists of two intersecting circles:
- The red circle represents individuals with a graduate degree in a relevant discipline.
- The blue circle represents individuals with 10+ years of experience in the industry.
Each section in the Venn diagram has a number representing the count of individuals falling into that category:
- 16 individuals have a graduate degree but less than 10 years of experience.
- 20 individuals have 10+ years of experience but no graduate degree.
- 4 individuals have both a graduate degree and 10+ years of experience in the industry.
- 7 individuals have neither a graduate degree nor 10+ years of experience.
#### Task:
Given that a random data scientist from the sample has less than ten years of experience in the industry, what is the probability that they have a graduate degree in a relevant discipline?
#### Solution:
1. **Calculate the number of individuals with less than ten years of experience:**
- This includes those with a graduate degree but less than 10 years of experience (16) and those without a graduate degree and less than 10 years of experience (7).
- Total = 16 + 7 = 23.
2. **Calculate the number of individuals with less than ten years of experience who have a graduate degree:**
- This includes only the 16 individuals who have a graduate degree but less than 10 years of experience.
3. **Compute the probability:**
- The probability is the ratio of individuals with a graduate degree to those with less than ten years of experience.
- Probability = 16 / 23.
Provide the final answer as a simplified fraction:
\[ \frac{16}{23} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3ab2835-e63c-462d-897e-c9721400fd30%2F1ff0ed33-ee7a-454f-8150-3836bd604ec1%2Fdnl4k1u.jpeg&w=3840&q=75)
Transcribed Image Text:### Use a Venn Diagram to Compute Compound and Conditional Probabilities
#### Question:
A survey of a sample of recent hires at major tech companies aims to investigate which applicants are most likely to be hired for positions in data science. The findings of the survey are presented in the Venn diagram below.
#### Venn Diagram Description:
The Venn diagram consists of two intersecting circles:
- The red circle represents individuals with a graduate degree in a relevant discipline.
- The blue circle represents individuals with 10+ years of experience in the industry.
Each section in the Venn diagram has a number representing the count of individuals falling into that category:
- 16 individuals have a graduate degree but less than 10 years of experience.
- 20 individuals have 10+ years of experience but no graduate degree.
- 4 individuals have both a graduate degree and 10+ years of experience in the industry.
- 7 individuals have neither a graduate degree nor 10+ years of experience.
#### Task:
Given that a random data scientist from the sample has less than ten years of experience in the industry, what is the probability that they have a graduate degree in a relevant discipline?
#### Solution:
1. **Calculate the number of individuals with less than ten years of experience:**
- This includes those with a graduate degree but less than 10 years of experience (16) and those without a graduate degree and less than 10 years of experience (7).
- Total = 16 + 7 = 23.
2. **Calculate the number of individuals with less than ten years of experience who have a graduate degree:**
- This includes only the 16 individuals who have a graduate degree but less than 10 years of experience.
3. **Compute the probability:**
- The probability is the ratio of individuals with a graduate degree to those with less than ten years of experience.
- Probability = 16 / 23.
Provide the final answer as a simplified fraction:
\[ \frac{16}{23} \]
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