Given X∼Poisson(λ)X \sim \text{Poisson}(\lambda)X∼Poisson(λ) such that P(X=0)=P(X=1)P(X=0) = P(X=1)P(X=0)=P(X=1), what is the mean of XXX?
0.50.50.5
1.01.01.0
2.02.02.0
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