Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Probability & Statistics 1
![**Problem 3:**
If the probability density of \( X \) is given by
\[ f(x) =
\begin{cases}
\frac{1}{x \ln 4} & \text{for } 1 < x < 4 \\
0 & \text{elsewhere}
\end{cases}
\]
find
i. \( E(X) \)
ii. \( E(X^2) \)
iii. \( E(X^3) \)](https://content.bartleby.com/qna-images/question/f5203d42-0da6-4b1b-a1a9-5b37798d2cd6/ace6c669-73c4-4ef3-a206-be32fceaba3c/oondxw_processed.jpeg)
Transcribed Image Text:**Problem 3:**
If the probability density of \( X \) is given by
\[ f(x) =
\begin{cases}
\frac{1}{x \ln 4} & \text{for } 1 < x < 4 \\
0 & \text{elsewhere}
\end{cases}
\]
find
i. \( E(X) \)
ii. \( E(X^2) \)
iii. \( E(X^3) \)
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