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A Call Center Receives Calls from Customers at a Rate

question 119

Essay

A call center receives calls from customers at a rate of 2 per min. The time between customer calls follows an exponential distribution.
(a) What is the probability that it takes 1/3 of a minute or less between consecutive customer calls?
(b) What is the probability that it take 1/2 of a minute or more between consecutive customer calls?


Definitions:

Official Poverty

A governmentally determined poverty threshold that indicates the minimum level of income required to meet basic needs.

Intergenerational Mobility

The change in social status or class across generations within a family.

Standard of Living

A level of wealth, comfort, material goods, and necessities available to a certain socioeconomic class or geographic area.

Structural Mobility

The movement of individuals or groups within or between social strata in a society, typically driven by changes in the economy or societal structures rather than individual efforts.

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