For a group of four 50-year old men, the probability distribution for the number a who live through the next year is as given in the table below. x | P(x) 0 0.0003 1 0.0082 2 0.0798 3 0.3467 4 0.5650 Verify that the table is indeed a probability distribution. Then find the mean of the distribution. mean = Report answer accurate to 1 decimal place.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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For a group of four 50-year-old men, the probability distribution for the number \( x \) who live through the next year is as given in the table below.

\[
\begin{array}{|c|c|}
\hline
x & P(x) \\
\hline
0 & 0.0003 \\
1 & 0.0082 \\
2 & 0.0798 \\
3 & 0.3467 \\
4 & 0.5650 \\
\hline
\end{array}
\]

Verify that the table is indeed a probability distribution. Then find the mean of the distribution.

Mean = \(\_\_\_\_\_\_\_\)

*Report answer accurate to 1 decimal place.*
Transcribed Image Text:For a group of four 50-year-old men, the probability distribution for the number \( x \) who live through the next year is as given in the table below. \[ \begin{array}{|c|c|} \hline x & P(x) \\ \hline 0 & 0.0003 \\ 1 & 0.0082 \\ 2 & 0.0798 \\ 3 & 0.3467 \\ 4 & 0.5650 \\ \hline \end{array} \] Verify that the table is indeed a probability distribution. Then find the mean of the distribution. Mean = \(\_\_\_\_\_\_\_\) *Report answer accurate to 1 decimal place.*
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