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By Exercise 3.2.6 it seems that the Poisson pmf peaks at its mean λ. Show that this is the case by solving the inequalities   is the pmf of a Poisson distribution with parameter λ.

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Exercise 3.2.6

The following R code segment computes a page of plots for Poisson pmfs with means 2, 4, 6, …, 18. Run this code and comment on the the shapes and modes of the distributions.


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