Find the Specified Probability Distribution of the Binomial Random Variable $\begin{array}{r|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.4219 \\1 & 0.4219 \\2 & 0.1286 \\3 & 0.0276\end{array}$

Multiple Choice

Find the specified probability distribution of the binomial random variable.
-In one city, 25% of the population is under 25 years of age. Three people are selected at random from the city. Find the probability distribution of X, the number among the three that are under 25
Years of age.

A)
$\begin{array}{r|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.4219 \\1 & 0.4219 \\2 & 0.1286 \\3 & 0.0276\end{array}$

B)
$\begin{array}{c|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.4219 \\1 & 0.4219 \\2 & 0.1406 \\3 & 0.0156\end{array}$

C)
$\begin{array}{r|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.4219 \\1 & 0.1406 \\2 & 0.0469 \\3 & 0.0156\end{array}$

D)
$\begin{array}{r|r}\mathrm{X} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 1 & 0.25 \\2 & 0.0625 \\3 & 0.0156\end{array}$