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(as done in the first part of this experiment.)
The decay of radioactive material occurs randomly at a rate determined by the stability of the of the material. The number of decays per given time interval will vary due to the randomness of the process. In a statistical sense decay is a rare event because the number of decays is very small compared to the total number of atoms present in the sample. Therefore the Poisson distribution can be used to model the number of decays (counts) in a given interval. The Poisson distribution is a discrete probability distribution which is used to express the probability of a number of events occurring in a given time interval...
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