Question: Let N(t) be a Poisson process with rate . Let 0 < s < t. Show that given N(t) = n, N(s) is a binomial

Let N(t) be a Poisson process with rate λ. Let 0 < s < t. Show that given N(t) = n, N(s) is a binomial random variable with parameters n and p = s/t.

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