A number N is chosen according to a Poisson distribution with mean 10. A fair coin is then tossed until N +1 heads are obtained. What is the expected number of tosses it will take to stop the experiment?© BrainMass Inc. brainmass.com October 10, 2019, 7:05 am ad1c9bdddf
What you are given is the following information:
N ~ Poisson(10)
X | N = n ~ negative binomial(n+1, 0.5)
The second expression is basically saying that, conditional on knowing N = n, X follows a negative binomial distribution ...
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