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anonymous
 one year ago
heights of women have a bell shaped distribution with a mean of 165 and a deviation of 6. Using the Cebyshev's theorem, what do we know about the percentage of women with heights that are 2 standard deviations within the mean. what are the minimum and maximum heights that are 2 standard deviations within the mean
anonymous
 one year ago
heights of women have a bell shaped distribution with a mean of 165 and a deviation of 6. Using the Cebyshev's theorem, what do we know about the percentage of women with heights that are 2 standard deviations within the mean. what are the minimum and maximum heights that are 2 standard deviations within the mean

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0just the person I was looking for

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what 165+12 and 16512?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay well the women in the wanted range are between those heights

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we also know that the majority of the women are between those heights

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0K...so that is my minimum and maximum? what is the percentage of the height within 2 standard deviations of 165?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the percent is 95 and yes that is the min and max

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it's not 95%  you're confusing the empirical rule for Chebyshev's inequality

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0https://en.wikipedia.org/wiki/Chebyshev's_inequality#Statement for values at least \(k\) standard deviations from the mean we have \(P(\frac1\sigmaX\mu\ge k)\le \frac1{k^2}\); so for values at least two standard deviations away, these can comprise at most \(1/4=25\%\) of the population. so there must be at least \(75%\) within two standard deviations of the mean
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