8. Two baseball player in your team has same mean number of score. Player 1 has higher variance than Player 2. In what situation you would like to choose Player 1 and in what situation you would choose Player 2?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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8. Two baseball player in your team has same mean number of score. Player 1 has higher variance
than Player 2. In what situation you would like to choose Player 1 and in what situation you would
choose Player 2?
Transcribed Image Text:8. Two baseball player in your team has same mean number of score. Player 1 has higher variance than Player 2. In what situation you would like to choose Player 1 and in what situation you would choose Player 2?
Expert Solution
Step 1

If two baseball players have the same mean number of scores, but different variances, it means that their performances are equally good on average . 

and Player 1 has a higher variance, which means that his scores vary more widely than Player 2 . 

In general, choosing between two baseball players with the same mean but different variances depends on the specific situation and the team's goals . 

 

consider the situation one :

If a team values consistency and minimizing risk, they might prefer Player 2, who has a lower variance. This means that Player 2's performance is likely to be more predictable and consistent over time. The team can count on Player 2 to deliver a steady number of runs in each game, without experiencing large swings in performance . 

so in simple terms ; if we want consistency we will go with player 2 .

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