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A probability model is simply a list of outcomes and the probability of each outcome. Which of the following probability models is a legitimate probability model?








a


Outcome









Outcome




1
2
3
4
Outcome
1
2
3
4


Probability
0.3
0.25
0.25
0.25



Probability




0.2
0.3
0.6
-0.1



b
d


Outcome
1
2
3
4
Outcome
1
2
3
4


Probability
0.01
0.02
0.03
0.04
Probability
0.2
0.25
0.35
0.2

88. A probability model is simply a list of outcomes and the probability of each outcome. Which of the following probability models is a legitimate probability model?\newline\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}\newline\hline \multicolumn{1010}{|l|}{\begin{tabular}{l} \newlinea \\\newlineOutcome\newline\end{tabular}} \\\newline\hline \begin{tabular}{|l} \newlineOutcome \\\newline\end{tabular} & 11 & 22 & 33 & 44 & Outcome & 11 & 22 & 33 & 44 \\\newline\hline Probability & 00.33 & 00.2525 & 00.2525 & 00.2525 & \begin{tabular}{|l} \newlineProbability \\\newline\end{tabular} & 00.22 & 00.33 & 00.66 & 0-0.11 \\\newline\hline \multicolumn{55}{|l|}{b \mathrm{b} } & \multicolumn{55}{|l|}{ d } \\\newline\hline Outcome & 11 & 22 & 33 & 44 & Outcome & 11 & 22 & 33 & 44 \\\newline\hline Probability & 00.0101 & 00.0202 & 00.0303 & 00.0404 & Probability & 00.22 & 00.2525 & 00.3535 & 00.22 \\\newline\hline\newline\end{tabular}

Full solution

Q. 88. A probability model is simply a list of outcomes and the probability of each outcome. Which of the following probability models is a legitimate probability model?\newline\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}\newline\hline \multicolumn{1010}{|l|}{\begin{tabular}{l} \newlinea \\\newlineOutcome\newline\end{tabular}} \\\newline\hline \begin{tabular}{|l} \newlineOutcome \\\newline\end{tabular} & 11 & 22 & 33 & 44 & Outcome & 11 & 22 & 33 & 44 \\\newline\hline Probability & 00.33 & 00.2525 & 00.2525 & 00.2525 & \begin{tabular}{|l} \newlineProbability \\\newline\end{tabular} & 00.22 & 00.33 & 00.66 & 0-0.11 \\\newline\hline \multicolumn{55}{|l|}{b \mathrm{b} } & \multicolumn{55}{|l|}{ d } \\\newline\hline Outcome & 11 & 22 & 33 & 44 & Outcome & 11 & 22 & 33 & 44 \\\newline\hline Probability & 00.0101 & 00.0202 & 00.0303 & 00.0404 & Probability & 00.22 & 00.2525 & 00.3535 & 00.22 \\\newline\hline\newline\end{tabular}
  1. Identify Probability Model: question_prompt: Which probability model is legitimate?
  2. Check Sum of Probabilities: Check if the sum of probabilities in model a equals 11: 0.3+0.25+0.25+0.25=1.050.3 + 0.25 + 0.25 + 0.25 = 1.05.

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