How Do Conditional Probabilities and Expectations Relate in Statistics?

[MaxManus]

Homework Statement

Consider two random variables X and Y. Suppose that Y takes on k values y_i,...,y_k and X takes l values x_i,...,x_l

Hey, I am supposed to show that
1) Pr(Y = y_i = $$\sum$$,from 1 to l Pr(Y = y_i(givrn)(X=x_i)Pr(X=x_i)


and
2) E(Y) = E(E(Y(given)X)


I am not sure where to start on neither of them,

 

[quantumdude]

You need to learn how to do a little research, bro. That second problem is worked out completely on a wikipedia page, which I was able to find in about 20 seconds. I will let you think about what keywords to search for (you should at least know what E(Y) is called). As for the first problem, I'm guessing that you didn't type it in correctly because I can't parse what you're trying to say. Try again?