Sia
Question
Math
Posted 9 months ago
Ajay has been recording his outcomes for three games that he has played this summer. Here is his data:
\begin{tabular}{llll}
Game & Wins & Losses & Total \\
\hline Chess & 5 & 8 & 13 \\
\hline Checkers & 9 & 2 & 11 \\
\hline Mancala & 3 & 10 & 13 \\
Total & 17 & 20 & 37
\end{tabular}
What is the best description of the distribution boxed in the second row of the table above?
Choose 1 answer:
(A) This is the marginal distribution of game.
(B) This is the marginal distribution of style of outcome.
(c) This is the conditional distribution of game for wins.
(D) This is the conditional distribution of outcome for checkers.
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Answer from Sia
Posted 9 months ago
Solution by Steps
step 1
Identify the distribution type in the second row of the table
step 2
The second row shows the number of wins, losses, and total games played for Checkers
step 3
The distribution describes the outcomes (wins and losses) for a specific game (Checkers)
step 4
Since the distribution is specific to Checkers, it is not a marginal distribution of the game or style of outcome
step 5
The distribution is not conditional on wins, but on the game of Checkers
Answer
(D) This is the conditional distribution of outcome for checkers.
Key Concept
Conditional Distribution
Explanation
The distribution is conditional because it is specific to the outcomes for the game of Checkers.
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