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

Solution

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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Source: https://solvelyapp.com/problems/VNVRVQ2nrz/

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