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.