A data point y∈Ny \in \mathbb{N}y∈N follows a Poisson distribution with parameter θ>0\theta > 0θ>0 if
You are given i.i.d. samples S={3,1,4,1,5,2}S = \{3, 1, 4, 1, 5, 2\}S={3,1,4,1,5,2}. Compute the maximum likelihood estimate θ^\hat{\theta}θ^.