You should have noticed by now that many distributions tend to have a bell-shaped graph as parameters are allowed to increase. Indeed, the formulas for skewness
\(\gamma_1\) and kurtosis
\(\gamma_2\) approach 0 and 3 respectively for the
Hypergeometric 6.4.2,
Hypergeometric 6.4.2,
Negative Binomial 7.4.7,
Poisson 8.2.5, and
Gamma 8.4.3 Distributions. Each of these "limiting distributions" appear to be symmetrical (i.e.
\(\gamma_1=0\)) with horizontal asymptotes of 0. The general model looks like: