Find the indicated probability. In a certain class of students, there are 8 boys from Wilmette, 4 girls from Kenilworth, 4 girls from Wilmette, 2 boys from Glencoe, 5 boys from Kenilworth and 2 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth? O0.16 O 0.36 O 0.2 01

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Problem Statement:**

Find the indicated probability.

In a certain class of students, there are:

- 8 boys from Wilmette
- 4 girls from Kenilworth
- 4 girls from Wilmette
- 2 boys from Glencoe
- 5 boys from Kenilworth
- 2 girls from Glencoe

If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?

**Answer Choices:**

- ○ 0.16
- ○ 0.36
- ○ 0.2
- ● 1

The correct answer is **0.36**.

**Explanation:**

To find the probability that the student is from Kenilworth:

1. Count the total number of students from Kenilworth:
   - 4 girls from Kenilworth
   - 5 boys from Kenilworth
   - Total from Kenilworth = 4 + 5 = 9

2. Calculate the total number of students:
   - 8 boys from Wilmette
   - 4 girls from Wilmette
   - 2 boys from Glencoe
   - 2 girls from Glencoe
   - Total = 8 + 4 + 2 + 2 + 9 (Kenilworth) = 25

3. Probability that a student is from Kenilworth:
   \[
   \text{Probability} = \frac{\text{Number of Kenilworth students}}{\text{Total number of students}} = \frac{9}{25} = 0.36
   \]
Transcribed Image Text:**Problem Statement:** Find the indicated probability. In a certain class of students, there are: - 8 boys from Wilmette - 4 girls from Kenilworth - 4 girls from Wilmette - 2 boys from Glencoe - 5 boys from Kenilworth - 2 girls from Glencoe If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth? **Answer Choices:** - ○ 0.16 - ○ 0.36 - ○ 0.2 - ● 1 The correct answer is **0.36**. **Explanation:** To find the probability that the student is from Kenilworth: 1. Count the total number of students from Kenilworth: - 4 girls from Kenilworth - 5 boys from Kenilworth - Total from Kenilworth = 4 + 5 = 9 2. Calculate the total number of students: - 8 boys from Wilmette - 4 girls from Wilmette - 2 boys from Glencoe - 2 girls from Glencoe - Total = 8 + 4 + 2 + 2 + 9 (Kenilworth) = 25 3. Probability that a student is from Kenilworth: \[ \text{Probability} = \frac{\text{Number of Kenilworth students}}{\text{Total number of students}} = \frac{9}{25} = 0.36 \]
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