In testing a certain kind of missile, target accuracy is measured by the average distance X (from the target) at which the missile explodes. The distance X is measured in miles and the sampling distribution of X is given by: Calculate the variance of this sampling distribution. X ||0 ||10||50|100|| 1/3/ P(X)/28/1474

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In testing a certain kind of missile, target accuracy is measured by the average distance \( X \) (from the target) at which the missile explodes. The distance \( X \) is measured in miles and the sampling distribution of \( X \) is given by:

\[
\begin{array}{|c|c|c|c|c|}
\hline
X & 0 & 10 & 50 & 100 \\
\hline
P(X) & \frac{1}{28} & \frac{1}{14} & \frac{1}{7} & \frac{3}{4} \\
\hline
\end{array}
\]

Calculate the variance of this sampling distribution.
Transcribed Image Text:In testing a certain kind of missile, target accuracy is measured by the average distance \( X \) (from the target) at which the missile explodes. The distance \( X \) is measured in miles and the sampling distribution of \( X \) is given by: \[ \begin{array}{|c|c|c|c|c|} \hline X & 0 & 10 & 50 & 100 \\ \hline P(X) & \frac{1}{28} & \frac{1}{14} & \frac{1}{7} & \frac{3}{4} \\ \hline \end{array} \] Calculate the variance of this sampling distribution.
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Solution-:

We have given sampling distribution of X:

X 0 10 50 100
P(X) 1/28 1/14 1/7 3/4

We want to find the variance of this sampling distribution?

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