Suppose that X1∣θ,…,Xn∣θ∼Exp(θ)X_1 \mid \theta,\dots, X_n \mid \theta \sim \exponential{\theta}X1∣θ,…,Xn∣θ∼Exp(θ) IID. Find the MLE of θ\thetaθ, θ^MLE\hat{\theta}_{MLE}θ^MLE, with the data {1,2,3,4,5}\{1,2,3,4,5\}{1,2,3,4,5}.