1.1/2ln3
2.28.8
3.X与Y相互独立,且X~P(入),Y~P(1),
则X+Y~P(λ+1)
所以P(X=k|X+Y=n)
=P{X=k,Y=n-k}/P{X+Y=n}
=exp(-λ)λ^k/k! * exp(-1)1^(n-k)/(n-k)! / exp(-(λ+1))(λ+1)^n/n!
=C(上k下n)λ^k / (λ+1)^n
4.
1.1/2ln3
2.28.8
3.X与Y相互独立,且X~P(入),Y~P(1),
则X+Y~P(λ+1)
所以P(X=k|X+Y=n)
=P{X=k,Y=n-k}/P{X+Y=n}
=exp(-λ)λ^k/k! * exp(-1)1^(n-k)/(n-k)! / exp(-(λ+1))(λ+1)^n/n!
=C(上k下n)λ^k / (λ+1)^n
4.