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Write the conditions for which the Poisson distribution is a limiting case of the binomial distribution.

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Poisson distribution is a limiting case of binomial distribution under the following conditions: 

•  the number of trials ‘n’ is indefinitely large 

i.e, → ∞ 

•  the probability of success ‘p’ in each trial is very small, 

i.e, p → 0 

•   np = λ is finite. Thus p = λ/n and q = 1 – λ/n, λ > 0

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