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31 July, 06:06

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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  1. 31 July, 08:20
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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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