Question

设总体X~N(20,3),从X中抽取两个样本X1,X2.X10,和Y1,Y2...Y15,求概率P{|X-Y|>3}

Answer 1

|X-Y|~N(0,3+3)~N(0,6)

P(|X-Y|>3)=1-P(|X-Y|