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29 October, 02:16

The B (225, 1/5) distribution can be approximated by what normal distribution?

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  1. 29 October, 02:27
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    The general formula for approximating B (n, p) via a normal distribution is to let the mean be np and the standard deviation be sqrt[n*p * (1-p) ]. For this case, n = 225 and p = 1/5.

    The mean np = (225) (1/5) = 45, and

    The standard deviation sqrt[np (1-p) ] = sqrt[ (225) (1/5) (1 - 1/5) ] = 6

    This can be approximated with the normal distributino of mean 45 and SD 6.
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