The household size in a certain neighborhood varies from 1 to 6 The probability function of the the size of a random household is as follows: I 0 1 2 f(x) 0.04 0.15 0.17 3 0.32 1.39 4 5 0.19 0.1 6 0.03 Find the standard deviation of the the size of a random household.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. Need help 1.38, 1.39, 1.40, 1.41, 1.42 are not the answer Need help finding the correct one please.
The household size in a certain neighborhood varies from 1 to 6. The probability function of the size of a random household is as follows:

\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
f(x) & 0.04 & 0.15 & 0.17 & 0.32 & 0.19 & 0.1 & 0.03 \\
\hline
\end{array}
\]

Find the standard deviation of the size of a random household.

The answer is: 1.39
Transcribed Image Text:The household size in a certain neighborhood varies from 1 to 6. The probability function of the size of a random household is as follows: \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline f(x) & 0.04 & 0.15 & 0.17 & 0.32 & 0.19 & 0.1 & 0.03 \\ \hline \end{array} \] Find the standard deviation of the size of a random household. The answer is: 1.39
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