(1)依题意可知随机变量ξ的一切可取值为0,1,2,则
P(ξ=0)=
=
C
C
,P(ξ=1)=7 15
=
C
C
C
,P(ξ=2)=7 15
=
C
C
C
,1 15
E(x)=0×
+1×7 15
+2×7 15
=1 15
=9 15
,3 5
D(x)=(0?
)2×3 5
+(1?7 15
)2×3 5
+(2?7 15
)2×3 5
=1 15
=140 375
;28 75
(2)设A={抽取的3件产品中含有次品},则P(A)=P(ξ=1)+P(ξ=2)=
.8 15