Find the probability that the number of soldiers killed by horse kicks in a Prussian cavalry corps over a six-month period exceeds two standard deviations above its mean value. Clearly define the random variable of interest using the context of this problem.
Let X be the random variable denoting the number of soldiers killed by horse kicks in a Prussian cavalry corps over a six-month period
We need to find :
P(X > 2*SD + Mean)
We use Excel function "NORMSDIST()" as :
Hence,
Probability that the number of soldiers killed by horse kicks in a Prussian cavalry corps over a six-month period exceeds two standard deviations above its mean value = 0.0228
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