6. The probability W(n) that an event characterized by a probability p occurs n times in N trials wasshown by binomial distributionN!(N − n)!(c) From (b) show it reduces toW(n) =Consider the situation where the probability p is small and n << N(a) Show that (1-p)N-ne-p(b) Show that≈NnN!n!(N − n)!P” (1 − p)N-nW(n) ==where X = Np(d) From (c), show that properly normalized(e) Calculate the mean and variance\nn! e-t

*** as per guidelines we are advised to answer only one question and 3 parts so I am answering…

Answered: 6. The probability W(n) that an event…

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