Question

设x~b(2,p),y~b(3,p)已知p(x≥1)=5\/9

关于二项分布的题,
设X∽B(2,p),Y∽B(3,p),且已知P(X≥1)=5/9 ,求P(Y≥1).

Answer 1

简单计算一下即可，答案如图所示

Answer 2

5/9=P(X≥1)=1-P(X=0)=1-(1-p)^2
p=1/3
P(Y≥1)=1-P(X=0)=1-(1-1/3)^3=19/27