Thread: [SOLVED] Proof of stats theorem

1. [SOLVED] Proof of stats theorem

2. Do you know the mean and variance of a binomial distribution?

--Kevin C.

3. Yes, we have worked with those a little. The mean is basically E(X) and variance is E(X^2) - E(x)^2. I am really not sure where to go from there, though... so, maybe I could take over after the first couple steps, but I am just not sure how to start.

4. Originally Posted by penguin11
E(aX + b) = a E(X) + b.

Var(aX + b) = a^2 Var(X).

In your problem, you want E(X/n) and Var(X/n) ......

And, asking again, you know what E(X) and Var(X) is for a binomial distribution, right? (I can't imagine why you wuld get this question if you didn't ......)

5. Ok, yes I figured it out. Thank you for repeating the fact that it was a binomial distribution. I got the proof!!! I can post it if you would like to see it in all its wonderfulness