Suppose one hundred numbers X1X2X100 are chosen independentl

Suppose one hundred numbers X1,X2,...,X100 are chosen independently at random from [0,20].let S=X1+X2+...X100 be the sum, A=S/100 the average and S*=(S-1000)/(10/sq.root3) the standardized sum.Find the lower bounds for the probabilities

Solution

a) 2/3

b) 2/3

c) 0.568755

Suppose one hundred numbers X1,X2,...,X100 are chosen independently at random from [0,20].let S=X1+X2+...X100 be the sum, A=S/100 the average and S*=(S-1000)/(1

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