問題詳情

 Let X and Y be continuous randoun variables with the joint probability density function

, 0 ≤x<ㆀ,0≤y<∞, where c is a constant. Then c=   (a)  

E(XY2)=    (b)   ,and cov(X,Y)=    (c)   . Given the information that X = x, the

conditional probability density function of Y is

=    (d)  . Now we let Z = X+Y

with

the probability density function and.

the corresponding mnoment generating function.Then

=    (e)    and My(t) =   (f)   .


【題組】(a)

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