Answer
The required sample is
\[\begin{align}
& \left( 37,38,45 \right),\,\,\left( 37,38,50 \right),\,\,\left( 37,38,48 \right),\,\,\left( 37,38,60 \right),\,\,\left( 37,45,50 \right), \\
& \left( 37,45,48 \right),\,\,\left( 37,45,60 \right),\,\,\left( 37,50,48 \right),\,\,\left( 37,50,60 \right),\,\,\left( 37,48,60 \right), \\
& \left( 38,45,50 \right),\,\,\left( 38,45,48 \right),\,\,\left( 38,45,60 \right),\,\,\left( 38,50,48 \right),\,\,\left( 38,50,60 \right), \\
& \left( 38,48,60 \right),\,\,\left( 45,50,48 \right),\,\,\left( 45,50,60 \right),\,\,\left( 45,48,60 \right),\,\,\left( 50,48,60 \right) \\
\end{align}\]
The required probability is 0.70.
The sampling distributions for the mean with the corresponding probabilities are as follows:
Work Step by Step
Given above.
