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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:

Probability

A measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Samples

Subsets of a population selected for measurement, observation, or questioning to make statistical inferences about the whole population.

Populations

In statistics, the entire pool from which a statistical sample is drawn and to which conclusions or inferences are made based on the sample.

Sampling Error

The discrepancy between a sample statistic and its corresponding population parameter, due to the fact that the sample is not a perfect representation of the population.

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