Continental Congress. Franklin returned to Philadelphia in 1775. There he served as a delegate to the Continental Congress, where he was instrumental in drafting the Declaration of Independence and the Articles of Confederation to form a new union.
In its simplest form (when r is an integer), the negative binomial distribution models the number of failures x before a specified number of successes is reached in a series of independent, identical trials. Its parameters are the probability of success in a single trial, p, and the number of successes, r. A special case of the negative binomial distribution, when r = 1, is the geometric distribution, which models the number of failures before the first success. More generally, r can take on non-integer values.
The short answer to the title question is: They give different numbers. ---------- Binomial( n; L, q ) = (L Choose n) * q^n * (1-q)^(L-n) where n is a non-negative integer, L is a positive integer and 0L. If L*q is large, this distribution will be almost normal.