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Consider the sum of a binary Xjj for all {0,1}; IID random variable with p = P{Xj}; bern(p) And = =1 Also note that a

Consider the sum of a binary Xjj for all {0,1}; IID random variable with p = P{Xj}; bern(p) And = =1 Also note that a discrete random variable, N, is said to be thinned with probability r by a bern(r) sequence when N becomes =1 Xj ~ Bern(r) 1. If the binomial random variable Sn is thinned with probability r, what is the resulting PMF, Tn? 2. If we let n=N be a discrete random variable with PMF (1-h)hn , n=0,1,2,3...., where 0

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