Empirical Rule for `X - York University

Empirical Rule for (X. Consider a sample of size n from a population with mean ( and standard deviation (. Suppose (X is normal ( or approximately normal), with ( = ( and ( = (/(n (X (X (This would be the case if the population is normal or if the sample size is large). Find the probability that (X will be within (a) 2( of ( (b) 3( of ( . (X (X (a) P( (X will be within 2( of ( ) (X = (2) (b) P ... ................
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