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※ 引述《std810471 (家程)》之銘言: : Roll a fair die repeatedly. Let T denote the number of rollings before all 6 sides : appeared at least once. Compute E(T) and Var(T) r.vX1~Geo(p=1) r.vX2~Geo(p=5/6) r.vX3~Geo(p=2/3) r.vX4~Geo(p=1/2) r.vX5~Geo(p=1/3) r.vX6~Geo(p=1/6) E(X)=E(X1+X2+X3+X4+X5+X6) =1+6/5+3/2+2+3+6 =14.7 Var(X)=Var(X1+X2+X3+X4+X5+X6) =0+6/25+3/4+2+6+30 =38.99 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.115.204.107 ※ 編輯: NCUflywind 來自: 140.115.204.107 (02/10 00:00)