Let X be a random variable with the following probability distribution: X f(x) -2 0.5 3 0.3 Find the standard deviation of X. The standard deviation is 5 0.2 4 (Round to two decimal places as needed.)
Let X be a random variable with the following probability distribution: X f(x) -2 0.5 3 0.3 Find the standard deviation of X. The standard deviation is 5 0.2 4 (Round to two decimal places as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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17. Please answer the following question.
![Let \( X \) be a random variable with the following probability distribution:
\[
\begin{array}{c|ccc}
x & -2 & 3 & 5 \\
\hline
f(x) & 0.5 & 0.3 & 0.2 \\
\end{array}
\]
Find the standard deviation of \( X \).
---
The standard deviation is \(\Box\). (Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabd5e741-0235-409f-80de-883f5f0e5da7%2F4b1aeb0d-5d19-4153-ba16-ca9ea09c1a4b%2F1tue03u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( X \) be a random variable with the following probability distribution:
\[
\begin{array}{c|ccc}
x & -2 & 3 & 5 \\
\hline
f(x) & 0.5 & 0.3 & 0.2 \\
\end{array}
\]
Find the standard deviation of \( X \).
---
The standard deviation is \(\Box\). (Round to two decimal places as needed.)
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