On one block of Eat Street in downtown Minneapolis there are 10 restaurants to choose from. The
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On one block of “Eat Street” in downtown Minneapolis there are 10 restaurants to choose from. The waiting time for each restaurant is exponentially distributed with respective parameters λ1, . . . , λ10. Bob will decide to eat at restaurant i with probability pi for i = 1, . . . , 10 (p1 + · · · + p10 = 1). What is Bob’s expected waiting time?
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