Question: Plz do fast & Don't copy Chegg or I will report Assume X, the number of customers entering a shop (per day), is Poisson distributed

Plz do fast & Don't copy Chegg or I will report

Assume X, the number of customers entering a shop (per day), is Poisson distributed with expectation 500. The shop offers two products, product A and product B. On average, 20% of the people entering to the shop buy product A and 30% of those not buying A buy product B. Let YA and YB denote the number of daily sells. Find the joint distribution of YA and YB and the conditional distribution of YA if YB = 200. Furthermore, the conditional distribution of YA given that 600 persons enter the shop and 200 buy B

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