Many professional baseball teams (including the Cincinnati Reds and the Boston Red Sox) use Bill James's formula to estimate theirprobability of winning a league pennant:(Runs scored)2(Runs scored)2 + (Runs allowed)2Probability)of winningThis formula, whose form is reminiscent of the Pythagorean theorem, is considered more accurate than just the proportion ofgames won because it takes into consideration the scores of the games.t Find this probability for a team that has scored 500 runsand allowed 400 runs. (Round your answer to the nearest whole percent.)

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Asked Dec 16, 2019
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Many professional baseball teams (including the Cincinnati Reds and the Boston Red Sox) use Bill James's formula to estimate their
probability of winning a league pennant:
(Runs scored)2
(Runs scored)2 + (Runs allowed)2
Probability)
of winning
This formula, whose form is reminiscent of the Pythagorean theorem, is considered more accurate than just the proportion of
games won because it takes into consideration the scores of the games.t Find this probability for a team that has scored 500 runs
and allowed 400 runs. (Round your answer to the nearest whole percent.)
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Many professional baseball teams (including the Cincinnati Reds and the Boston Red Sox) use Bill James's formula to estimate their probability of winning a league pennant: (Runs scored)2 (Runs scored)2 + (Runs allowed)2 Probability) of winning This formula, whose form is reminiscent of the Pythagorean theorem, is considered more accurate than just the proportion of games won because it takes into consideration the scores of the games.t Find this probability for a team that has scored 500 runs and allowed 400 runs. (Round your answer to the nearest whole percent.)

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Expert Answer

Step 1

It is given that the runs scored is 500 and runs allowed 400.

Step 2

The probability of winning is given...

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(Probability (Runs scored) of winning Runs scored) +(Runs allowed) (s00) (500)* + (400) z 0.61

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