随机变量X的分布列如下表,且E(X)=1.1,则D(X)=______. X 0

2025-03-21 23:19:44
推荐回答(1个)
回答1:

1
5
+p+
3
10
=1得,p=0.5,
由E(X)=1.1,得0×
1
5
+1×0.5+
3
10
x=1.1,解得x=2,
所以D(X)=(0-1.1)2×
1
5
+(1-1.1)2×0.5+(2-1.1)2×
3
10
=0.49,
故答案为:0.49.