Let X be a random variable with the following probability distribution. Value x of X P(X=x) 10 0.30 20 0.45 30 0.15 40 0.05 50 0.05 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)
Let X be a random variable with the following probability distribution. Value x of X P(X=x) 10 0.30 20 0.45 30 0.15 40 0.05 50 0.05 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)
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:
\[
\begin{array}{|c|c|}
\hline
\text{Value } x \text{ of } X & P(X = x) \\
\hline
10 & 0.30 \\
20 & 0.45 \\
30 & 0.15 \\
40 & 0.05 \\
50 & 0.05 \\
\hline
\end{array}
\]
Complete the following. (If necessary, consult a list of formulas.)
(a) Find the expectation \( E(X) \) of \( X \).
\[ E(X) = \, \square \]
(b) Find the variance \( \text{Var}(X) \) of \( X \).
\[ \text{Var}(X) = \, \square \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe17a999b-a7db-49d7-b1d3-602b036c3370%2F990e843e-2a47-44ce-ab2e-b33efe81fef2%2F0cinypf_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( X \) be a random variable with the following probability distribution:
\[
\begin{array}{|c|c|}
\hline
\text{Value } x \text{ of } X & P(X = x) \\
\hline
10 & 0.30 \\
20 & 0.45 \\
30 & 0.15 \\
40 & 0.05 \\
50 & 0.05 \\
\hline
\end{array}
\]
Complete the following. (If necessary, consult a list of formulas.)
(a) Find the expectation \( E(X) \) of \( X \).
\[ E(X) = \, \square \]
(b) Find the variance \( \text{Var}(X) \) of \( X \).
\[ \text{Var}(X) = \, \square \]
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