We produce an alternate proof of the extended binomial theorem by solving a first order linear ordinary differential equation with a given initial condition. The method is easy to follow and the ...

A generalized negative binomial (GNB) distribution with an additional parameter β has been obtained by using Lagrange's expansion. The parameter is such that both mean and variance tend to increase or ...

The binomial distribution is an important discrete distribution. It gives the probability of the number of "successes," in a sequence of n independent binary trials. This applet allows users to drag ...