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Suppose female customers come to a shop according to a Poisson process of rate λ per...

Suppose female customers come to a shop according to a Poisson process of rate λ per hour and male customers according to an independent Poisson process of rate µ per hour. a) What is the conditional distribution of the total number of female customers coming to the shop in the first hour given that the total number of customers coming to the shop in the first hour is n? b) What is the probability that the first customer coming to the shop is female?

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