Let X be a random variable with the following probability distribution. Value x of X 0 1 2 3 P(X=x) 0.55 0.30 0.05 0.10 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) = X
Let X be a random variable with the following probability distribution. Value x of X 0 1 2 3 P(X=x) 0.55 0.30 0.05 0.10 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) = X
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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![Let \( X \) be a random variable with the following probability distribution.
\[
\begin{array}{|c|c|}
\hline
\text{Value } x \text{ of } X & P(X = x) \\
\hline
0 & 0.55 \\
1 & 0.30 \\
2 & 0.05 \\
3 & 0.10 \\
\hline
\end{array}
\]
Complete the following. (If necessary, consult a list of formulas.)
(a) Find the expectation \( E(X) \) of \( X \).
\[
E(X) = \Box
\]
(b) Find the variance \( \text{Var}(X) \) of \( X \).
\[
\text{Var}(X) = \Box
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee025788-43ba-44d1-a712-3a4f81fda024%2Fb0f0c1b0-6892-4afb-a14e-e666e4483755%2Fzc8kqb7_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( X \) be a random variable with the following probability distribution.
\[
\begin{array}{|c|c|}
\hline
\text{Value } x \text{ of } X & P(X = x) \\
\hline
0 & 0.55 \\
1 & 0.30 \\
2 & 0.05 \\
3 & 0.10 \\
\hline
\end{array}
\]
Complete the following. (If necessary, consult a list of formulas.)
(a) Find the expectation \( E(X) \) of \( X \).
\[
E(X) = \Box
\]
(b) Find the variance \( \text{Var}(X) \) of \( X \).
\[
\text{Var}(X) = \Box
\]
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