Complete the following probability distribution table: Probability Distribution Table X P(X) -25 -22 29 81 0.2 0.3 0.2
Complete the following probability distribution table: Probability Distribution Table X P(X) -25 -22 29 81 0.2 0.3 0.2
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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![**Probability Distribution Table**
Complete the following probability distribution table:
| X | P(X) |
|:-----------:|:------:|
| -25 | ? |
| -22 | 0.2 |
| 29 | 0.3 |
| 81 | 0.2 |
**Explanation:**
- The table above is a probability distribution table displaying the possible values of a random variable \( X \) and their corresponding probabilities \( P(X) \).
- The probabilities in the \( P(X) \) column should sum up to 1 to satisfy the property of a probability distribution.
- The table is missing the probability for \( X = -25 \). To find this value, we can use the sum of probabilities property:
\[
P(-25) + 0.2 + 0.3 + 0.2 = 1
\]
Solving for \( P(-25) \):
\[
P(-25) + 0.7 = 1
\]
\[
P(-25) = 1 - 0.7
\]
\[
P(-25) = 0.3
\]
- Therefore, the probability \( P(-25) \) is 0.3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11f84057-ddc6-4a16-833f-eeebb801b1ce%2Fd6a13b58-4f78-4eeb-b47e-08b82733c6e2%2Flr9y1ex_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Table**
Complete the following probability distribution table:
| X | P(X) |
|:-----------:|:------:|
| -25 | ? |
| -22 | 0.2 |
| 29 | 0.3 |
| 81 | 0.2 |
**Explanation:**
- The table above is a probability distribution table displaying the possible values of a random variable \( X \) and their corresponding probabilities \( P(X) \).
- The probabilities in the \( P(X) \) column should sum up to 1 to satisfy the property of a probability distribution.
- The table is missing the probability for \( X = -25 \). To find this value, we can use the sum of probabilities property:
\[
P(-25) + 0.2 + 0.3 + 0.2 = 1
\]
Solving for \( P(-25) \):
\[
P(-25) + 0.7 = 1
\]
\[
P(-25) = 1 - 0.7
\]
\[
P(-25) = 0.3
\]
- Therefore, the probability \( P(-25) \) is 0.3.
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