问题标题:
【设X~B(3,0.4),求下列随机变量的数学期望:(1)X1=X^2(2)X2=X(X-2)(3)X=X(3-X)/2】
问题描述:
设X~B(3,0.4),求下列随机变量的数学期望:
(1)X1=X^2
(2)X2=X(X-2)
(3)X=X(3-X)/2
郭一新回答:
已知X~B(3,0.4),则X的概率分布为
X0123
pk0.2160.4320.2880.064
∴
E(X1)=E(X^2)=0×0.216+1×0.432+4×0.288+9×0.064=2.16.
E(X2)=E(X^2-2X)=0×0.216+(-1)×0.432+0×0.288+3×0.064=-0.24.
倪宏回答:
第三问咩~
郭一新回答:
X0123X(3-X)/2)0110pk0.2160.4320.2880.064E(X3)=E(X(3-X)/2)=0×0.216+1×0.432+1×0.288+0×0.064=0.72
郭一新回答:
X0123X(3-X)/2)0110pk0.2160.4320.2880.064E(X3)=E(X(3-X)/2)=0×0.216+1×0.432+1×0.288+0×0.064=0.72
郭一新回答:
X0123X(3-X)/2)0110pk0.2160.4320.2880.064E(X3)=E(X(3-X)/2)=0×0.216+1×0.432+1×0.288+0×0.064=0.72
郭一新回答:
X0123X(3-X)/2)0110pk0.2160.4320.2880.064E(X3)=E(X(3-X)/2)=0×0.216+1×0.432+1×0.288+0×0.064=0.72
郭一新回答:
X0123X(3-X)/2)0110pk0.2160.4320.2880.064E(X3)=E(X(3-X)/2)=0×0.216+1×0.432+1×0.288+0×0.064=0.72
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