Let N have a Poisson distribution with parameter a = 1. Conditioned on N = n, let X be a random variable with PMF P(X=K|N=n)=,12 for k = 0,1,.., n+1. What is the marginal distribution for X?

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Let N have a Poisson distribution with parameter a = 1. Conditioned on N = n, let X be a random
PMF P(X=K\N=n)=n+2
for k = 0,1,.., n+1. What is the marginal distribution
variable with
for X?
Transcribed Image Text:Let N have a Poisson distribution with parameter a = 1. Conditioned on N = n, let X be a random PMF P(X=K\N=n)=n+2 for k = 0,1,.., n+1. What is the marginal distribution variable with for X?
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