Let (X,Y) be a random vector such that f(y|x) = 1/3 if x=1,2,3 and f(y|x)=0 elsewhere?

2016-12-04 1:36 pm
How to calculate E(Y), P(X = 1|Y = 2), and E(X|Y = 2)?

Thanks!

回答 (1)

2016-12-04 1:50 pm
E(Y) = E( E(y/x) )
Compute E(y/x)

x f(y/x)
1 1/3
2 1/3
3 1/3

E(Y) = (1)(1/3)+(2)(1/3)+(3)(1/3) = 2

I am not sure if other queations can be answered without more information.
We need the joint probability distribution of x and y


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