If X∼Poisson(λ)X \sim \text{Poisson}(\lambda)X∼Poisson(λ), what is the relationship between the mean and the variance?
E[X]<Var(X)E[X] < Var(X)E[X]<Var(X)
E[X]=Var(X)E[X] = Var(X)E[X]=Var(X)
E[X]>Var(X)E[X] > Var(X)E[X]>Var(X)
No fixed relationship