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Math Help - [SOLVED] Proof of stats theorem

  1. #1
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    [SOLVED] Proof of stats theorem

    I really don't even know where to start on this theorem. Please help!!!
    Attached Thumbnails Attached Thumbnails [SOLVED] Proof of stats theorem-4.bmp  
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  2. #2
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    Do you know the mean and variance of a binomial distribution?

    --Kevin C.
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  3. #3
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    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.
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  4. #4
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    Quote Originally Posted by penguin11 View Post
    I really don't even know where to start on this theorem. Please help!!!
    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 ......)
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  5. #5
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    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
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