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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
30 Oct 2021

Given information

On average, Pierre, an amateur chef, drops three pieces of eggshell into every two cake batters he makes. Suppose that you buy one of his cakes.

Step-by-step explanation

Step 1.

Let’s say that you buy one of Pierre’s cakes each week for weeks. What is the probability that there will not be any eggshells in any of the cakes?

It is given pieces of eggshell in every  cake exists then in a piece of cake eggshell is given by,

The random variable will follow Poisson distribution as below,

 

The required probability can be written as than it is calculated by using the  calculator by using option poissonpdf and enter.

Therefore, the probability  is the probability that there will not be any eggshell in any of the cakes.

 

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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