Suppose a radioactive source is metered for 3 hours, during which time the total number of alpha particles counted is 328. Modeling the problem using a Poisson distribution, what is the probability exactly four particles will be counted in the next 2 minutes? Answer the question in two ways: (a) By defining X to be the number of particles counted in 2 minutes (b) By defining X to be the number of particles counted in 1 minute. Give your answers in decimal form with at least 6 significant figures.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose a radioactive source is metered for 3 hours, during which time the total number of alpha particles counted is 328. Modeling the problem using a Poisson distribution, what is the probability exactly four particles will be counted in the next 2 minutes? Answer the question in two ways:

(a) By defining X to be the number of particles counted in 2 minutes

(b) By defining X to be the number of particles counted in 1 minute.

Give your answers in decimal form with at least 6 significant figures.

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