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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
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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