Question: Binomial probability distributor is a discrete probability distribution that has many applications. It's also consistent with a multi-step experiment that is called the binomial experiment

Binomial probability distributor is a discrete probability distribution that has many applications. It's also consistent with a multi-step experiment that is called the binomial experiment that consist of having four properties. According to the textbook (Anderson), the four properties consist of the following:

The experiment consists of a sequence of n identical trials.

Two outcomes are possible on each trial. We refer to one outcome as a success and the other outcome as a failure.

The probability of a success, denoted by p, does not change from trial to trial. Consequently, the probability of a failure, denoted by 1 p, does not change from trial to trial.

The trials are independent.

Poisson distributions is also a probability distributor however the difference between these two are the following:

The probability of an occurrence is the same for any two intervals of equal length.

The occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval.

There is no limit of possible outcome

In binomial distribution Mean > Variance while in poisson distribution mean = variance.(Surhbi, S, 2017) please discuss with reference

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