Poisson Aquarium Napoléon Plus - Free video on Pixabay
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Poisson Aquarium Napoléon Plus - Free video on Pixabay
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SOLVED:Show that the binomial moment generating function converges to the Poisson moment generating function if we let n →∞and p →0 in such a way that n p approaches a value μ>0 .[Hint: Use the calculus theorem that was used in showing that the binomial pmf converges to the Poisson pmf.] There is, in fact, a theorem saying that convergence of the mgf implies convergence of the probability distribution. In particular, convergence of the binomial mgf to the Poisson mgf implies b(x ; n, p) →p(x ; μ
SOLVED:Show that the binomial moment generating function conv…
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