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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
(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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