Make a Probability Distribution for the Given Set of Events

question 164

Multiple Choice

Make a probability distribution for the given set of events.
-The following table displays a frequency distribution of the number of siblings for students at one middle school. Make a probability distribution for number of siblings. $\begin{array}{r|rrrrrrrr}\text { Number of siblings } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \text { Frequency } & 188 & 257 & 135 & 54 & 22 & 8 & 6 & 3\end{array}$

• A)
• \(\begin{array}{r|r}
• \text { Siblings } & \text { Probability } \\
• \hline 0 & 0.125 \\
• 1 & 0.125 \\
• 2 & 0.125 \\
• 3 & 0.125 \\
• 4 & 0.125 \\
• 5 & 0.125 \\
• 6 & 0.125 \\
• 7 & 0.125
• \end{array}\)
• B)
• \(\begin{array}{r|r}
• \text { Siblings } & \text { Probability } \\
• \hline 1 & 0.530 \\
• 2 & 0.278 \\
• 3 & 0.111 \\
• 4 & 0.045 \\
• 5 & 0.016 \\
• 6 & 0.012 \\
• 7 & 0.006
• \end{array}\)
• C)
• \(\begin{array}{r|r}
• \text { Siblings } & \text { Probability } \\
• \hline 0 & 0.279 \\
• 1 & 0.382 \\
• 2 & 0.201 \\
• 3 & 0.080 \\
• 4 & 0.033 \\
• 5 & 0.012 \\
• 6 & 0.009 \\
• 7 & 0.004
• \end{array}\)
• D)
• \(\begin{array}{r|r}
• \text { Siblings } & \text { Probability } \\
• \hline 0 & 0.294 \\
• 1 & 0.367 \\
• 2 & 0.212 \\
• 3 & 0.068 \\
• 4 & 0.033 \\
• 5 & 0.012 \\
• 6 & 0.009 \\
• 7 & 0.004
• \end{array}\)

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