What does the mean become in the l limit

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Reference no: EM131810289

Question: Show that the binomial (n, p) distribution approaches the Poisson (µ) distribution as n → ∞, and p → 0 with np = µ held fixed. Consider the negative binomial distribution with parameters r and p = 1 - q. Let r → ∞, and let p → 1 so that rq = µ is held fixed.

a) What does the mean become in the l limit?

b) What does the variance become in the limit?

c) Show the distribution approaches the Poisson (µ) distribution in the limit.

Reference no: EM131810289

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