Complete the following. (If necessary, consult a list of formlas.) (a) Find the expectation E (X) of X. E (X) = ] (b) Find the variance Var(X) of X. Var(x) = 1
Complete the following. (If necessary, consult a list of formlas.) (a) Find the expectation E (X) of X. E (X) = ] (b) Find the variance Var(X) of X. Var(x) = 1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Let \( X \) be a random variable with the following probability distribution:
\[
\begin{array}{|c|c|}
\hline
\text{Value } x \text{ of } X & P(X = x) \\
\hline
20 & 0.05 \\
30 & 0.30 \\
40 & 0.20 \\
50 & 0.10 \\
60 & 0.25 \\
70 & 0.10 \\
\hline
\end{array}
\]
**Complete the following. (If necessary, consult a list of formulas.)**
(a) Find the expectation \( E(X) \) of \( X \).
\[
E(X) = \underline{\phantom{E(X)}}
\]
(b) Find the variance \( \text{Var}(X) \) of \( X \).
\[
\text{Var}(X) = \underline{\phantom{\text{Var}(X)}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33c37e08-4ae0-47a0-8176-1da90542d3cc%2Fa4f5adc5-1460-48c6-8fe7-3165be5ed62d%2Ffpaunsg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( X \) be a random variable with the following probability distribution:
\[
\begin{array}{|c|c|}
\hline
\text{Value } x \text{ of } X & P(X = x) \\
\hline
20 & 0.05 \\
30 & 0.30 \\
40 & 0.20 \\
50 & 0.10 \\
60 & 0.25 \\
70 & 0.10 \\
\hline
\end{array}
\]
**Complete the following. (If necessary, consult a list of formulas.)**
(a) Find the expectation \( E(X) \) of \( X \).
\[
E(X) = \underline{\phantom{E(X)}}
\]
(b) Find the variance \( \text{Var}(X) \) of \( X \).
\[
\text{Var}(X) = \underline{\phantom{\text{Var}(X)}}
\]
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