In a Bank Drive-Through, There Is a Single Service Window

question 81

Short Answer

In a bank drive-through, there is a single service window and room only for two cars to line-up to wait for service. The mean time between arrivals for drive through customers is 5 minutes. The mean time to complete a customer transaction is 3 minutes. The number of arrivals is distributed according to a Poisson distribution and the service times are exponentially distributed.
-What is the probability that the system is full and new arrival must drive on?

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Definitions:

Preoperational

The second stage in Piaget's theory of cognitive development, occurring roughly between the ages of 2 and 7, characterized by symbolic thinking, egocentrism, and difficulty understanding conservation.

Concrete Operational

A stage of cognitive development in Piaget's theory, occurring roughly between the ages of 7 and 11, during which children gain a better understanding of mental operations and can think logically about concrete events.

Formal Operational

The stage in Piaget's theory of cognitive development during which people begin to think logically about abstract concepts and hypothetical situations.

Egocentrism

The inability to differentiate between self and others, often leading to viewing things exclusively from one's own perspective.