Obtain the Probability Distribution of the Random Variable A) B)

Multiple Choice

Obtain the probability distribution of the random variable.
-The following table displays a frequency distribution for the number of living grandparents for students at a high school. For a randomly selected student in the school, let X denote the number of Living grandparents of the student. Obtain the probability distribution of X. $\begin{array}{r|rrrrr}\text { Number of living grandparents } & 0 & 1 & 2 & 3 & 4 \\\hline \text { Frequency } & 38 & 85 & 157 & 216 & 154\end{array}$

A)
$\begin{array}{r|r}\text { Grandparents } & \text { Probability } \\\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.066 \\1 & 0.146 \\2 & 0.242 \\3 & 0.317 \\4 & 0.229\end{array}$

B)
$\begin{array}{r|r}\text { Grandparents } & \text { Probability } \\\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.2 \\1 & 0.2 \\2 & 0.2 \\3 & 0.2 \\4 & 0.2\end{array}$

C)
$\begin{array}{r|r}\text { Grandparents } & \text { Probability } \\\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 1 & 0.139 \\2 & 0.257 \\3 & 0.353 \\4 & 0.252\end{array}$

D)
$\begin{array}{r|r}\text { Grandparents } & \text { Probability } \\\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.058 \\1 & 0.131 \\2 & 0.242 \\3 & 0.332 \\4 & 0.237\end{array}$