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Consider a Single-Line, Single-Server Waiting Line System

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Consider a single-line, single-server waiting line system. Suppose that customers arrive according to a Poisson distribution at an average rate of 50 per hour, and the average (exponentially distributed) service time is 45 seconds per customer. What is the probability that 4 customers are in the system?


Definitions:

Dictator Game

An experimental game in economics that tests individuals' behavior towards altruism and fairness, where one player (the "dictator") decides how to split an endowment between themselves and another player.

Market Transactions

The processes involved in buying or selling goods and services in a market between buyers and sellers.

Ultimatum Game

A game in experimental economics in which two players decide on how to divide a sum of money; one player proposes a division, and the other can accept or reject it.

Dictator Game

An experimental game in economics where one player (the "dictator") determines how to split an endowment between themselves and another player.

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