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A Bank Manager Estimates That an Average of Two Customers

question 48

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A bank manager estimates that an average of two customers enters the tellers' queue every five minutes. Assume that the number of customers that enters the tellers' queue is Poisson distributed. What is the probability that exactly seven customers enter the queue in a randomly selected 15-minute period?


Definitions:

Communal Roost

A shared resting or sleeping location used by a group of animals, typically for protection and social purposes.

Reciprocity

A social interaction principle where an action is repaid with a corresponding one, beneficial in the formation and maintenance of social bonds.

Ophiocordyceps

A genus of fungi known for parasitizing insects and other arthropods, causing altered behaviors that benefit the fungus's dissemination.

Fungal Spores

Reproductive units produced by fungi, capable of developing into new fungal organisms under suitable environmental conditions, important for fungal distribution and diversity.

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