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

question 154

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

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Definitions:

Transparent

An object or color's ability to pass light, making it possible to see through it or to see text, images, or objects behind it.

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An option in software applications to increase the contrast or intensity of a color, making it closer to black.

Specified Number

A number that has been clearly identified or defined within a certain context, often used to denote a particular quantity, version, or identifier.