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During a laboratory experiment, the average number of radioactive particles passing through a counter in 1 millisecond is 4. what is the probability that 6 particles enter the counter in a given millisecond?

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The Answer is:
This question uses poisson distribution, not binominals

X~possions(λ = 4)
P (X=6) = 4-^λ λ^k/k! = e⁻⁴(4)⁶/6!
(0.018316) * (4096) / 720 = ≈0.10419678888≈0.1042 miliseconds

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