These are: the probability of a success, \(\mu\), is unchanged within the interval, there cannot be simultaneous successes within the interval, and finally, that the probability of a success among int...These are: the probability of a success, \(\mu\), is unchanged within the interval, there cannot be simultaneous successes within the interval, and finally, that the probability of a success among intervals is independent, the same assumption of the binomial distribution. The Poisson is asking for the probability of a number of successes during a period of time while the binomial is asking for the probability of a certain number of successes for a given number of trials.
