Math  /  Data & Statistics

QuestionPractice Exercises 1) Which of the following are valid probability distributions? Explain a) \begin{tabular}{|c|c|} \hline x\boldsymbol{x} & P(x)\boldsymbol{P}(\boldsymbol{x}) \\ \hline 0 & 0.5 \\ \hline 1 & 0.25 \\ \hline 2 & 0.25 \\ \hline \end{tabular} b) \begin{tabular}{|c|c|} \hline x\boldsymbol{x} & P(x)\boldsymbol{P}(\boldsymbol{x}) \\ \hline 0.5 & 0.2 \\ \hline 0.2 & 0.3 \\ \hline 0.3 & 0.25 \\ \hline \end{tabular} c) \begin{tabular}{|c|c|} \hline x\boldsymbol{x} & P(x)\boldsymbol{P}(\boldsymbol{x}) \\ \hline 0 & 0.3 \\ \hline 1 & 0.25 \\ \hline 2 & 0.25 \\ \hline 3 & 0.2 \\ \hline \end{tabular}

Studdy Solution
For distribution (c), calculate the sum of probabilities:
0.25+0.25+0.3+0.2=1.0 0.25 + 0.25 + 0.3 + 0.2 = 1.0
The sum is 1, so distribution (c) is valid.
All distributions (a), (b), and (c) are valid probability distributions.

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