Mathematics - Probability Question with Solution | TestHub

\begin{array}{|r|c|c|c|}\hline x & \mathrm{x}=0 & \mathrm{x}=1 & \mathrm{x}=2 \\\hline \mathrm{P}(\mathrm{x}) & \frac{{ }^7 \mathrm{C}_2}{{ }^{10} \mathrm{C}_2} & \frac{{ }^7 \mathrm{C}_1^3 \mathrm{C}_1}{{ }^{10} \mathrm{C}_2} & { }^3{ }^{10} \mathrm{C}_2 \\\hline\end{array}
$\begin{array}{rl}& \mu =\Sigma {\mathrm{x}}_{\mathrm{i}}\mathrm{P}\left({\mathrm{x}}_{\mathrm{i}}\right)=0+\frac{7}{15}+\frac{2}{15}=\frac{3}{5}\\ & \text{ Variance }(\mathrm{x})=\Sigma {\mathrm{P}}_{\mathrm{i}}{\left({\mathrm{x}}_{\mathrm{i}}-\mu \right)}^2=\frac{28}{75}\end{array}$