Probability, show that

  • Thread starter MaxManus
  • Start date
  • #1
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Homework Statement


Consider two random variables X and Y. Suppose that Y takes on k values yi,....,yk and X takes l values xi,....,xl

Hey, I am supposed to show that
1) Pr(Y = yi = [tex]\sum[/tex],from 1 to l Pr(Y = yi(givrn)(X=xi)Pr(X=xi)


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


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

Answers and Replies

  • #2
Tom Mattson
Staff Emeritus
Science Advisor
Gold Member
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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?
 

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