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quant round 1 question 18
 
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Philip
Posted: 29 October 2008 04:48 AM   [ Ignore ]  
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Hi David,

Can you please explain how you arrived at the answer of 75%

Thanks,
Philip

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David Harper, CFA, FRM, CIPM
Posted: 29 October 2008 12:23 PM   [ Ignore ]   [ # 1 ]  
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Joined  2006-09-24

Hi Philip,

The answer was truncated from the quiz, which i just fixed, so it reads now:

“We don’t need the distribution given a mean and finite variance, this is the cleverness of Chebyshev’s inequality. P[ABS(X-mean) <= (constant)(standard deviation) >1 - 1/c^2. In this case, we want the probability variable will fall within two standard deviations: P >=1- 1/2^2 = 1-1/4 = 75%. The probability is at least 75%. Or put another way, probability return is outside the 2 standard deviation interval is LESS THAN OR EQUAL TO 25%.”

David

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‹‹ Question 17 Quant 1      Problem 8 round 2 Quant. ››

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