Exercise Solution 3.38

The skewness of a B(m,p) distribution is given by [3.81]:

[3.81]

Taking the limit as m → ∞, we obtain

[s1]

The kurtosis of a B(m,p) distribution is given by [3.82]:

[3.82]

Taking the limit as m → ∞, we obtain

[s2]

Because the skewness and kurtosis of every normal distribution are 0 and 3, formulas [s1] and [s2] prove the result.

 

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