在10件产品中有2件次品,连续抽3次,每次抽1件,求:(1)不放回抽

在10件产品中有2件次品,连续抽3次,每次抽1件,求:

(1)不放回抽样时,抽到次品数ξ的分布列;

(2)放回抽样时,抽到次品数η的分布列.

答案

解析:

(1)P(ξ=0)=,P(ξ=1)= ,

P(ξ=2)=,

所以ξ的分布列为

ξ

0

1

2

P

(2)P(η=k)= ·0.8 3-k·0.2k(k=0,1,2,3),所以η的分布列为

η

0

1

2

3

P

 

 

 

 

 

 

 

 

 

 

 

 


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