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Poisson distribution with a mean that is a uniform random variable 
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#1
Mar410, 01:03 AM

P: 18

It's been a while since I've taken probability so I'm not sure if I have this right:
Question: "Suppose yx is poisson with mean x and X ~ Uniform[0,5]. compute Pr[Y>=1]" Here is what I did: E[Y] = E[E(YX)] = E[X] = 2.5 = the parameter for poisson Pr[Y>=1] = 1  Pr[Y = 0] = 1  e^(2.5) Is this right? It seems overly simple so I'm not sure... 


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