Question

What is the difference between a normal distribution, binomial distribution and a Poisson distribution?

Answer 1

Initially to answer this question we must be aware of the term probability and many various terms and concepts it includes within it. After extending this topic, we can proceed with these different distributions which are included in this section of probability and statistics.

Complete step by step solution:
When we study all these various distributions, we get to know that the Binomial distribution and the Poisson distribution have discrete random variable distribution and normal distribution is a type of continuous random variable distribution.
Binomial distribution that includes parameters n and p is basically the discrete probability distribution of the number of successes that occur in any event in a sequence of n independent experiments, each of which gives us the success with probability p.
Further, the Poisson distribution can be derived from the binomial distribution. It is one of the cases of binomial distribution only. In this we have the limiting case of a binomial where n is taken as large and p is small, we can say that it is close to zero but we get np as finite always.
As we have already mentioned that normal distribution is a continuous distribution which is completely described by the two parameters $\sigma$ and $\mu$ where we should know what they represent as $\mu$ represents the population mean or the centre of the distribution and $\sigma$ represents the population standard deviation. It also can be derived from the binomial distribution only when we have the situation like n is too large but then p is small enough.

Note: There are various names for various cases of various distributions so be clear with the condition that is provided in the question apart from the definition of every distribution. Be clear with the terms.