X 0 1 2 3 P(x) 0.15 0.05 0.2 0.6 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places Question Help: Message instructor Submit Question Jump to Answer
X 0 1 2 3 P(x) 0.15 0.05 0.2 0.6 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places Question Help: Message instructor Submit Question Jump to Answer
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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![Transcription for Educational Website:
-----
**Find the Standard Deviation of a Probability Distribution**
The following table provides the probability distribution for a random variable \( x \):
| \( x \) | \( P(x) \) |
|--------|------------|
| 0 | 0.15 |
| 1 | 0.05 |
| 2 | 0.2 |
| 3 | 0.6 |
**Problem Statement:**
Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places.
[Input Box]
**Question Help:**
- Message instructor
**Buttons:**
- [Submit Question]
- [Jump to Answer]
-----
**Instructions for Calculating Standard Deviation:**
1. Calculate the mean (\( \mu \)) of the distribution.
2. Use the formula for the standard deviation (\( \sigma \)) of a probability distribution:
\[
\sigma = \sqrt{\sum (x_i - \mu)^2 \cdot P(x_i)}
\]
3. Ensure your answer is rounded to at least two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F634845f0-1267-4369-8c1c-17e520d5439c%2F47fe7727-7cb5-4d1f-b74e-ce59521b27c2%2Fz6i3o47_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Transcription for Educational Website:
-----
**Find the Standard Deviation of a Probability Distribution**
The following table provides the probability distribution for a random variable \( x \):
| \( x \) | \( P(x) \) |
|--------|------------|
| 0 | 0.15 |
| 1 | 0.05 |
| 2 | 0.2 |
| 3 | 0.6 |
**Problem Statement:**
Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places.
[Input Box]
**Question Help:**
- Message instructor
**Buttons:**
- [Submit Question]
- [Jump to Answer]
-----
**Instructions for Calculating Standard Deviation:**
1. Calculate the mean (\( \mu \)) of the distribution.
2. Use the formula for the standard deviation (\( \sigma \)) of a probability distribution:
\[
\sigma = \sqrt{\sum (x_i - \mu)^2 \cdot P(x_i)}
\]
3. Ensure your answer is rounded to at least two decimal places.
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