Question: 7. In a typical evening, a waiter serves N1 tables that order alcoholic beverages and N2 tables that do not. Suppose N1, N2 are Poisson

7. In a typical evening, a waiter serves N1 tables that order alcoholic beverages and N2 tables that do not.

Suppose N1, N2 are Poisson random variables with parameters λ1 = 4, λ2 = 6, respectively. Suppose the tips, Xi, left at tables that order alcoholic beverages have common mean value of $20.00, while the tips, Yj, left at tables that do not order alcoholic beverages have a common mean value of $10.00. Assuming that the tips left are independent from the total number of tables being served, find the expected value of the total amount in tips received by the waiter in a typical evening. (Hint. Use Proposition 4.4-3)

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