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The data in a data set are normally distributed with a mean of 180 and a standard deviation of 30. Estimate the percent of the data that are less than 120 or greater than 240. 

 

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 Oct 29, 2018
edited by Guest  Oct 29, 2018
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we normalize the data by finding z=Xμσz1=12018030=2z2=24018030=2using the 68, 95, 99.7 rule we have thatP[2z2]=0.9545we want the probability outside this area so we haveP([z<2)(2<2)]=10.9545=0.0455

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 Oct 29, 2018
edited by Rom  Oct 29, 2018

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