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(1) 设随机变量X的概率密度为 求(i)Y=2X;(ii)Y=e-2X的数学期望. (2) 设随机变量X1,X2,…,Xn相互独立,且

(1) 设随机变量X的概率密度为

(1) 设随机变量X的概率密度为    求(i)Y=2X;(ii)Y=e-2X的数学期望.  (2)求(i)Y=2X;(ii)Y=e-2X的数学期望.

(2) 设随机变量X1,X2,…,Xn相互独立,且都服从(0,1)上的均匀分布(i)求U=max{X1,X2,…,Xn}的数学期望,(ii)求V=min{X1,X2,…,Xn}的数学期望.

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