Let X be a random variable with the following probability distribution. Value X of X 10 ZO 30 40 4 P (X=x) 0.05 0.35 0.55 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = [] (b) Find the variance Var(X) of X. Var(x) = 0
Let X be a random variable with the following probability distribution. Value X of X 10 ZO 30 40 4 P (X=x) 0.05 0.35 0.55 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = [] (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 \( X \) | \( P(X = x) \) |
|--------------------------|---------------|
| 10 | 0.05 |
| 20 | 0.35 |
| 30 | 0.55 |
| 40 | 0.05 |
Complete the following. (If necessary, consult a list of formulas.)
(a) Find the expectation \( E(X) \) of \( X \).
\[ E(X) = \]
(b) Find the variance \( \text{Var}(X) \) of \( X \).
\[ \text{Var}(X) = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F964640eb-05b8-48b6-8066-4e5b4ee841dd%2F5d0d9133-574f-4c8c-9226-b30a0f28f329%2F3t53ams_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 \( X \) | \( P(X = x) \) |
|--------------------------|---------------|
| 10 | 0.05 |
| 20 | 0.35 |
| 30 | 0.55 |
| 40 | 0.05 |
Complete the following. (If necessary, consult a list of formulas.)
(a) Find the expectation \( E(X) \) of \( X \).
\[ E(X) = \]
(b) Find the variance \( \text{Var}(X) \) of \( X \).
\[ \text{Var}(X) = \]
Expert Solution
Step 1: Given data:
| X | P(X=x) |
| 10 | 0.05 |
| 20 | 0.35 |
| 30 | 0.55 |
| 40 | 0.05 |
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Solved in 3 steps
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