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Binomial Vs Poisson distribution
- In Binomial distribution, the probability of repeated number of trials is studied while Poisson distribution gives the count of independent events occurring randomly within a given period.
- The Binomial distribution has a fixed number of trials while the Poisson distribution has infinite number of trials.
- In Binomial distribution, there is only two possible outcomes (success or failure) while the Poisson distribution has unlimited number of possible outcomes.
- In Binomial distribution, the mean is greater than the variance while in Poisson distribution, the mean is the same as the variance.
- The success in binomial distribution has a constant probability while in Poisson distribution the success has infinitesimal chance.
- The Binomial distribution is usually Bi-parametric while in Poisson distribution is usually Uni-parametric. Bi-parametric means that there are two parameters involved while Uni-parametric refers to a single parameter involved.
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