Question: In an experiment to count decays from a radioactive sample 10 counts are registered on average in a 100 second interval. Use the Poisson distribution

In an experiment to count decays from a radioactive sample 10 counts are registered on average in a 100 second interval. Use the Poisson to estimate the probability of detecting
(a) 8 counts in a 100 second interval, and
(b) 2 counts in a 10 second interval. When the experiment was run for one day, 8000 counts were detected. Explain why this is an unlikely result if the above average is correct and Poisson statistics are applicable.

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