For the following distribution: x P(x) 0 0.027 10.189 2 0.441 3 0.343 What is the mean of the distribution?
For the following distribution: x P(x) 0 0.027 10.189 2 0.441 3 0.343 What is the mean of the distribution?
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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![For the following distribution:
\[
\begin{array}{|c|c|}
\hline
x & P(x) \\
\hline
0 & 0.027 \\
1 & 0.189 \\
2 & 0.441 \\
3 & 0.343 \\
\hline
\end{array}
\]
What is the mean of the distribution?
To find the mean of the distribution, you multiply each value of \(x\) by its corresponding probability \(P(x)\), then sum all those products:
\[
\text{Mean} = \sum \left( x \cdot P(x) \right) = 0 \cdot 0.027 + 1 \cdot 0.189 + 2 \cdot 0.441 + 3 \cdot 0.343
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb1da0b0-0465-4afc-abca-440b85867e76%2F1e47e090-ec69-4915-af8e-1f329e0121e2%2Fmhdjv2t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the following distribution:
\[
\begin{array}{|c|c|}
\hline
x & P(x) \\
\hline
0 & 0.027 \\
1 & 0.189 \\
2 & 0.441 \\
3 & 0.343 \\
\hline
\end{array}
\]
What is the mean of the distribution?
To find the mean of the distribution, you multiply each value of \(x\) by its corresponding probability \(P(x)\), then sum all those products:
\[
\text{Mean} = \sum \left( x \cdot P(x) \right) = 0 \cdot 0.027 + 1 \cdot 0.189 + 2 \cdot 0.441 + 3 \cdot 0.343
\]
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