Re: Expectation - May 20

Posted by Amit Goyal on May 20, 2012; 1:33pm
URL: http://discussion-forum.276.s1.nabble.com/Expectation-May-20-tp7567648p7567872.html

Well done. You are right. Its always true. Proof is elementary and you can do it on your own or refer any textbook for the same.
Let A ⊂ S be an event. Define
I[A]:S-->R
in the following way:
I[A](x) = 1 if x ∈ A
          = 0 if x ∉ A
What is Expectation(I[A])?