The following table is a probability distribution for the random variable x. X P(x) 5.0 25% 10.0 50% 15.0 25% What is the expected value of x, E(x), and the standard deviation of x, o? O E(X)=6.00 and o=4.49 O E(X)=10.00 and o=12.50 O E(X)=3.00 and o=3.54 O E(x)=3.54 and σ=10.00 ⒸE(x)=10.00 and o=3.54 Clear my choice
The following table is a probability distribution for the random variable x. X P(x) 5.0 25% 10.0 50% 15.0 25% What is the expected value of x, E(x), and the standard deviation of x, o? O E(X)=6.00 and o=4.49 O E(X)=10.00 and o=12.50 O E(X)=3.00 and o=3.54 O E(x)=3.54 and σ=10.00 ⒸE(x)=10.00 and o=3.54 Clear my choice
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 and Statistical Measures**
The following table represents a probability distribution for the random variable \(x\):
| \(x\) | \(P(x)\) |
|-------|---------|
| 5.0 | 25% |
| 10.0 | 50% |
| 15.0 | 25% |
**Question:**
What is the expected value of \(x\), \(E(x)\), and the standard deviation of \(x\), \(\sigma\)?
- **Options:**
- \(E(x) = 6.00 \) and \(\sigma = 4.49\)
- \(E(x) = 10.00\) and \(\sigma = 12.50\)
- \(E(x) = 3.00\) and \(\sigma = 3.54\)
- \(E(x) = 3.54\) and \(\sigma = 10.00\)
- \(E(x) = 10.00\) and \(\sigma = 3.54\) *(Correct Answer)*
[ ] Clear my choice](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe12f3ad-f419-427a-9045-294545f74979%2F3014085e-7948-4f90-acc8-e15bec181952%2Fpwjpii_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability Distribution and Statistical Measures**
The following table represents a probability distribution for the random variable \(x\):
| \(x\) | \(P(x)\) |
|-------|---------|
| 5.0 | 25% |
| 10.0 | 50% |
| 15.0 | 25% |
**Question:**
What is the expected value of \(x\), \(E(x)\), and the standard deviation of \(x\), \(\sigma\)?
- **Options:**
- \(E(x) = 6.00 \) and \(\sigma = 4.49\)
- \(E(x) = 10.00\) and \(\sigma = 12.50\)
- \(E(x) = 3.00\) and \(\sigma = 3.54\)
- \(E(x) = 3.54\) and \(\sigma = 10.00\)
- \(E(x) = 10.00\) and \(\sigma = 3.54\) *(Correct Answer)*
[ ] Clear my choice
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