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You know that: E(xi/sum(X)) = E(xi)/E(sum(x)). Use this fact.
Hello. This seems like an easy problem, but I'm having trouble getting started. Hopefully someone can give me a hint.
X_1,...,X_n are identically distributed random variables. They are stochastically independent. Show that:
E(X_1/(X_1+...+X_n) = 1/n
Any hints are appreciated.
You know that: E(xi/sum(X)) = E(xi)/E(sum(x)). Use this fact.
Of course. And since it they are distributed the same, they have the same expected value, c. So c/cn = 1/n.
**** right
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