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 siblings for students at one middle school. For a randomly selected student in the school, let X denote the number of siblings of
The student. Obtain the probability distribution of X. $\begin{array}{r|rrrrrrrr}\text { Number of siblings } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \text { Frequency } & 192 & 246 & 123 & 56 & 20 & 9 & 5 & 1\end{array}$

A)
$\begin{array}{l}\text { Siblings Probability }\\\begin{array}{r|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 1 & 0.535 \\2 & 0.267 \\3 & 0.122 \\4 & 0.043 \\5 & 0.020 \\6 & 0.011 \\7 & 0.002\end{array}\end{array}$


B)
$\begin{array}{l}\text { Siblings Probability }\\\begin{array}{r|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.294 \\1 & 0.377 \\2 & 0.189 \\3 & 0.086 \\4 & 0.031 \\5 & 0.014 \\6 & 0.008 \\7 & 0.002\end{array}\end{array}$

C)
$\begin{array}{r|r}\text { Siblings } & \text { Probability } \\\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.310 \\1 & 0.362 \\2 & 0.201 \\3 & 0.074 \\4 & 0.031 \\5 & 0.014 \\6 & 0.008 \\7 & 0.002\end{array}$

D)
$\begin{array}{r|r}\text { Siblings } & \text { Probability } \\\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.125 \\1 & 0.125 \\2 & 0.125 \\3 & 0.125 \\4 & 0.125 \\5 & 0.125 \\6 & 0.125 \\7 & 0.125\end{array}$