Customers arrive in a store in a Poissonprocess at a rate of 0.2 per minute for 5minutes, 0.1 per minute thereafter.Calculate the expected amount of time untilthe next customer arrivesCustomers arrive in a store in a Poisson process at a rate of 0.2 per minute for 5 minutes, 0.1 per minutethereafter.Calculate the expected amount of time until the next customer arrives

Now here two situations are given, The rate of customer arrives in the store is 0.2 per minute for 5…

Answered: Customers arrive in a store in a…

Customers arrive in a store in a Poisson process at a rate of 0.2 per minute for 5 minutes, 0.1 per minute thereafter. Calculate the expected amount of time until the next customer arrives

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

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Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Question

Customers arrive in a store in a Poisson
process at a rate of 0.2 per minute for 5
minutes, 0.1 per minute thereafter.
Calculate the expected amount of time until
the next customer arrives
Customers arrive in a store in a Poisson process at a rate of 0.2 per minute for 5 minutes, 0.1 per minute
thereafter.
Calculate the expected amount of time until the next customer arrives

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