Poisson distribution of independent variable [on hold]
N is a RV with a Poisson distribution with parameter ë. A coin has
probability p of heads. We flip the coin N times. Let X and Y be the
number of heads and tails respectively. Assume that the process which
generates N is independent of the coin. (a) Find the distributions of X
and Y . (b) Show that X and Y are independent.
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