P(Financial Aid | Graduate ) =[?] Round to thenearest hundredth. Enter
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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![### University Data
#### Financial Aid Statistics
| | Receiving Financial Aid | Not Receiving Financial Aid |
|------------------|-------------------------|-----------------------------|
| Undergraduates | 4222 | 3898 |
| Graduates | 1879 | 731 |
#### Probability Calculation
**Question:** What is the probability that a given student is on financial aid, given that he or she is a graduate?
**Formula:**
\[ P(\text{Financial Aid} \mid \text{Graduate}) = \frac{\text{Number of graduates receiving financial aid}}{\text{Total number of graduates}} \]
**Calculation:**
- Total graduates = 1879 + 731 = 2610
- Graduates receiving financial aid = 1879
\[ P(\text{Financial Aid} \mid \text{Graduate}) = \frac{1879}{2610} \]
**Instructions:** Round your answer to the nearest hundredth.
(Enter your answer in the provided box.)
---
**Note:** Understanding conditional probability is crucial for analyzing data and making informed decisions. In this context, it helps in assessing the financial aid distribution among graduate students.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12b7d8e5-e1f4-4366-964c-d88f3b8c0c01%2Ff71ff4c9-87b2-4d81-a821-4118b2ad7c54%2Frkr7nd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### University Data
#### Financial Aid Statistics
| | Receiving Financial Aid | Not Receiving Financial Aid |
|------------------|-------------------------|-----------------------------|
| Undergraduates | 4222 | 3898 |
| Graduates | 1879 | 731 |
#### Probability Calculation
**Question:** What is the probability that a given student is on financial aid, given that he or she is a graduate?
**Formula:**
\[ P(\text{Financial Aid} \mid \text{Graduate}) = \frac{\text{Number of graduates receiving financial aid}}{\text{Total number of graduates}} \]
**Calculation:**
- Total graduates = 1879 + 731 = 2610
- Graduates receiving financial aid = 1879
\[ P(\text{Financial Aid} \mid \text{Graduate}) = \frac{1879}{2610} \]
**Instructions:** Round your answer to the nearest hundredth.
(Enter your answer in the provided box.)
---
**Note:** Understanding conditional probability is crucial for analyzing data and making informed decisions. In this context, it helps in assessing the financial aid distribution among graduate students.
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