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    Question poisson distribution example




    If the mean rate of arrival in a restaurant is 10 customers per hour, what is the probability of having 4 customers arriving in any hour?

    P(4) =104 e-10 / 4!
    = 0.0000454 X 10000/24
    =0,0189

    but 0.0000454 this number seem wrong for me

    and if we reduce the arrival on 10 minutes we get :
    10X10/60 =1.67
    P(4in 10 min)= e1,67/4!
    =0.1889X7.72/24
    =0.0608
    and where the 7.72 comes from ?

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    Re: poisson distribution example

    Quote Originally Posted by logistiquecim View Post
    P(4) =104 e-10 / 4!
    = 0.0000454 X 10000/24
    =0,0189
    This is correct, but the next calculation is unclear. Can you explain further, please?

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    Re: poisson distribution example

    the second one is if we take 4 customers arriving in 10 minutes instead of 1 h
    thanks for the confirmation I had the same

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    Re: poisson distribution example


    OK. Got it. In that case, the second calculation is right too. The 7.72 is 1.67^4. Each calculation has three bits e^rate, rate^number, and factorial number.

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