Question

In: Statistics and Probability

Describe the differences between the use of the binomial and Poisson distribution. Provide one example of...

Describe the differences between the use of the binomial and Poisson distribution. Provide one example of how each can be used and explain why you selected the example.

Short & Sweet please, 150-200 words max

4/2019

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Expert Solution

Answer :

both Poisson and binomial both appropriation are discrete conveyance however both are utilized to decide probabilities in various

when we have an issue when there are just two conceivable results (either obvious or false), at that point we utilize binomial conveyance, when there are endlessness numerous conceivable results then we use Poisson circulation

at the point when the quantity of endeavors for an occasion is fixed then we utilize binomial dissemination where when we have a boundless number of preliminaries for an occasion , we use Poisson circulation

additionally if the quantity of endeavors watches out for interminability while completing a binomial dispersion then it van be approximated with the assistance of Poisson circulation

for example :

on the off chance that we are to discover the likelihood of mistake on some random page of a substantial thick book - we will utilize Poisson appropriation it is on the grounds that the quantity of preliminaries is vast and the conveyance can have numerous conceivable outcomes

example :

1 minute 2 minutes . . . . 10, 15, 100, 200, . . etc

while in the event that we are to ascertain the likelihood of a specific number of heads in a constrained numbering hurls of an impartial coin - at that point we will utilize binomial appropriation in light of the fact that here the quantity of preliminaries = 100 is fixed and there are just 2 conceivable results that is tails or heads


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