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 sum of n Bernoulli (p) random variables is a binomial (n, p) random variable. The sum of n geometric random variable with probability of success p is a negative binomial random variable with parameters n and p. The sum of n exponential (Î²) random variables is a gamma (n, Î²) random variable.