# Math

Assume the mean height of the soldiers to be 68.22 inches with the variance of 10.8inches square. How many soldiers in the regiment of 1000 would you expect to be-(1.) Over 6 fee tall (2) below 5.5 feet? Assume height to be normally distributed. Given; Pr(0
<z<1.15) =0.3749, Pr(0<z<0.6756) =0.2501

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1. standard deviation is √ variance

(1.) above the mean
... >72" ... Pr(0<z<1.15) = 0.3749 ... 0.5000 - 0.3749 = 0.1251
... 0.1251 * 1000 = 125 soldiers

(2) below the mean
... < 66" ... Pr(0<z<0.6756) = 0.2501 ... 0.2501 * 1000 = 250 soldiers

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