Q27. What is the probability of selecting a grade A student for the first time either in 2nd or 3rd selection? {Hint: use Geometric distribution with p value as the answer for question 18}
Q27. What is the probability of selecting a grade A student for the first time either in 2nd or 3rd selection? {Hint: use Geometric distribution with p value as the answer for question 18}
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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Transcribed Image Text:**Q27.** What is the probability of selecting a grade A student for the first time either in 2nd or 3rd selection? {Hint: use Geometric distribution with *p* value as the answer for question 18}
![### Understanding Probability with Grades
When analyzing the grades of students, let's explore how we determine the probability of receiving a specific grade. Consider the following data:
- **Grade Distribution:**
- A = 11 students
- B = 2 students
- C = 2 students
- D = 0 students
- F = 1 student
- **Scores Received:**
- 105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 98, 95, 72
**Example Probability Calculation:**
**Question:** What is the probability that a student received grade A?
To find the probability of a student receiving grade A, you use the formula for probability:
\[ P(A) = \frac{\text{Number of A's}}{\text{Total Number of Students}} \]
Given:
- Number of A's = 11
- Total Number of Students = 11 + 2 + 2 + 0 + 1 = 16
\[ P(A) = \frac{11}{16} \]
Thus, the probability, P(A), that a student received grade A is **0.687** or 68.7%.
This means there’s a 68.7% chance that a randomly selected student received an A grade based on this data set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa332979b-3709-48a2-942a-205e2ae2d053%2F4231eb37-096d-4f88-a7d3-5445500025ee%2Fi4gxd9i_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Probability with Grades
When analyzing the grades of students, let's explore how we determine the probability of receiving a specific grade. Consider the following data:
- **Grade Distribution:**
- A = 11 students
- B = 2 students
- C = 2 students
- D = 0 students
- F = 1 student
- **Scores Received:**
- 105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 98, 95, 72
**Example Probability Calculation:**
**Question:** What is the probability that a student received grade A?
To find the probability of a student receiving grade A, you use the formula for probability:
\[ P(A) = \frac{\text{Number of A's}}{\text{Total Number of Students}} \]
Given:
- Number of A's = 11
- Total Number of Students = 11 + 2 + 2 + 0 + 1 = 16
\[ P(A) = \frac{11}{16} \]
Thus, the probability, P(A), that a student received grade A is **0.687** or 68.7%.
This means there’s a 68.7% chance that a randomly selected student received an A grade based on this data set.
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