Let X be a random variable with the following probability distribution. Valuex of X 0 10 20 30 40 50 PX=x 0.15 0.10 0.15 0.20 0.15 0.25 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = 0
Let X be a random variable with the following probability distribution. Valuex of X 0 10 20 30 40 50 PX=x 0.15 0.10 0.15 0.20 0.15 0.25 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = 0
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 of a Random Variable
Let \( X \) be a random variable with the following probability distribution:
| Value \( x \) of \( X \) | \( P(X = x) \) |
|--------------------------|---------------|
| 0 | 0.15 |
| 10 | 0.10 |
| 20 | 0.15 |
| 30 | 0.20 |
| 40 | 0.15 |
| 50 | 0.25 |
**Tasks:**
1. **Find the expectation \( E(X) \) of \( X \).**
\[
E(X) = \, \_\_
\]
2. **Find the variance \( \text{Var}(X) \) of \( X \).**
\[
\text{Var}(X) = \, \_\_
\]
*Note: If necessary, consult a list of formulas.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F964640eb-05b8-48b6-8066-4e5b4ee841dd%2F732c85ec-0cfe-4aaf-bae8-3837e474a636%2Ftg3y3g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Distribution of a Random Variable
Let \( X \) be a random variable with the following probability distribution:
| Value \( x \) of \( X \) | \( P(X = x) \) |
|--------------------------|---------------|
| 0 | 0.15 |
| 10 | 0.10 |
| 20 | 0.15 |
| 30 | 0.20 |
| 40 | 0.15 |
| 50 | 0.25 |
**Tasks:**
1. **Find the expectation \( E(X) \) of \( X \).**
\[
E(X) = \, \_\_
\]
2. **Find the variance \( \text{Var}(X) \) of \( X \).**
\[
\text{Var}(X) = \, \_\_
\]
*Note: If necessary, consult a list of formulas.*
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