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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
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 \( X \). \[ \text{Var}(X) = \]
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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