Given this table, find the probability of x les 0 1 2 P(x) 0.50 0.25 0.25 X 0.75 0.25 1 0 0.50
Given this table, find the probability of x les 0 1 2 P(x) 0.50 0.25 0.25 X 0.75 0.25 1 0 0.50
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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![**Question:**
Given this table, find the probability of \( x \) less than or equal to 1.
| x | 0 | 1 | 2 |
|---|----|----|----|
| P(x) | 0.50 | 0.25 | 0.25 |
**Options:**
- ☐ 0.75
- ☐ 0.25
- ☐ 1
- ☐ 0.50
**Explanation:**
To find the probability \( P(x \leq 1) \), sum the probabilities for \( x = 0 \) and \( x = 1 \):
\[ P(x \leq 1) = P(x = 0) + P(x = 1) \]
\[ P(x \leq 1) = 0.50 + 0.25 \]
\[ P(x \leq 1) = 0.75 \]
Thus, the correct answer is 0.75.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9ed366a-05c2-4728-8c6d-70ad10b89152%2Fbb1023da-df6b-48ff-90b1-4a78a5c81514%2Fnbaq93_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Given this table, find the probability of \( x \) less than or equal to 1.
| x | 0 | 1 | 2 |
|---|----|----|----|
| P(x) | 0.50 | 0.25 | 0.25 |
**Options:**
- ☐ 0.75
- ☐ 0.25
- ☐ 1
- ☐ 0.50
**Explanation:**
To find the probability \( P(x \leq 1) \), sum the probabilities for \( x = 0 \) and \( x = 1 \):
\[ P(x \leq 1) = P(x = 0) + P(x = 1) \]
\[ P(x \leq 1) = 0.50 + 0.25 \]
\[ P(x \leq 1) = 0.75 \]
Thus, the correct answer is 0.75.
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