[(1 - p)/(1 - pet)]r for t < -ln(p)
where
p = probability of success in each trial,
r = number of failures before success.
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what is meant by a negative binomial distribution what is meant by a negative binomial distribution
The negative binomial can be applied in any situation in which there is a series of independent trials, each of which can result in either of just two outcomes. The distribution applies to the number of trials that occur before the designated outcome occurs. For example, if you start flipping a fair coin repeatedly the negative binomial distribution gives the number of times you must flip the coin until you see 'heads'. There are also 'everyday' applications in inventory control and the insurance industry. Please see the link.
A line representing any polynomial function, power function (including negative powers), trigonometric functions, most continuous probability distribution functions.
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
Yes it can be negative.