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Let X be the number of customers arriving in a given hour at a commercial bank in South Africa. Furthermore, let Y be the number

Let X be the number of customers arriving in a given hour at a commercial bank in South Africa. Furthermore, let Y be the number of customers who makes withdrawals. It is known that X follows a Poisson with parameter = 8. Given that E(Y |X) = X/4 and V (Y |X) = (X + 2)/6. a) Find E(Y ) b) Determine V (Y )

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