Problem

Is the random variable given in the accompanying table discrete or continuous? Explain.
\begin{tabular}{c|c}
\hline \begin{tabular}{c}
Number \\
of Girls, $x$
\end{tabular} & $\boldsymbol{P}(\boldsymbol{x})$ \\
\hline 0 & 0.063 \\
\hline 1 & 0.250 \\
\hline 2 & 0.375 \\
\hline 3 & 0.250 \\
\hline 4 & 0.063 \\
\hline
\end{tabular}

The random variable given in the accompanying table is because

Answer

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Answer

Final Answer: The random variable given in the accompanying table is \boxed{discrete}.

Steps

Step 1 :The question is asking whether the random variable given in the table is discrete or continuous. A discrete random variable is one which may take on only a countable number of distinct values such as 0,1,2,3,4,... etc. A continuous random variable is one which takes an infinite number of possible values.

Step 2 :In the given table, the random variable (Number of Girls, x) can take only certain values (0, 1, 2, 3, 4), and for each value, there is a corresponding probability.

Step 3 :Therefore, it seems like the random variable is discrete.

Step 4 :Final Answer: The random variable given in the accompanying table is \boxed{discrete}.

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