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 number of successes X in n trials of a binomial experiment is called a binomial random variable. The probability distribution of the random variable X is called a binomial distribution, and is given by the formula: `P(X)=C_x^n p^x q^(n-x)`. where. n = the number of trials. x = 0, 1, 2, ...n.p = the probability of success in a single trial. q = the probability of failure in a single trial. (i.e. q = 1 â p). `C_x^n` is a combination. P (X) gives the probability of successes in n binomial trials. = the probability of success in a single trial. q = the probability of failure in a single trial. (i.e. q = 1 â p). `C_x^n` is a combination. P (X) gives the probability of successes in n binomial trials.