A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places. O 0.926 O 82 O 0.052 O 0.074
A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places. O 0.926 O 82 O 0.052 O 0.074
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:**Find the Indicated Probability**
The age distribution of students at a community college is given below:
| Age (years) | Number of Students (f) |
|-------------|------------------------|
| Under 21 | 411 |
| 21-25 | 413 |
| 26-30 | 203 |
| 31-35 | 58 |
| Over 35 | 24 |
| **Total** | **1109** |
A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places.
Choices:
- 0.926
- 82
- 0.052
- 0.074
**Explanation:**
To find the probability that a student is at least 31 years old, add the number of students in the age groups 31-35 and over 35, then divide by the total number of students.
Calculation:
- Number of students at least 31 years old = 58 (31-35) + 24 (Over 35) = 82
- Total number of students = 1109
- Probability = 82 / 1109 ≈ 0.074
So, the correct answer is 0.074.
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