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Math Help - normal approximation for discrete random variables

  1. #1
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    normal approximation for discrete random variables

    If it can be done, what are the minimum conditions for a normal approximation to be valid for discrete random variables. I know it can be done for a binomial if np and nq are larger than 10, but what about a case with not just simply success or failures?

    For example,

    x p(x)
    0 0.2
    1 0.3
    2 0.5

    mean is 1.3 and variance 0.61

    if x is chosen 100 times could the total of x, lets call it Y, use normal approximation where Y ~N(100*1.3,sqrt(100*0.61)) ???

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  2. #2
    Moo
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    Hello,

    See how the central limit theorem is stated. It should be a normal approximation of 10*(Y/100 - 1.3) to N(0, 0.61)
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