A generalization of Bernoulli learning models

In this article we derive a generalization of Bernoulli learning model. We study the generalized Bernoulli learning model based on the probability of success Pi = i^p/ n^p,where n and p are positive integers, which gives the two previous results given by Abdulnasser Khidr (1981) and Rashad (1998) as special cases, where p = 1 and p = 2, respectively. The limiting distribution of the model is given. A Maple program is written and executed to find the probabilities of the model.