Problem 3. Consider a sample X1, ..., Xn iid Weibull(λ, α), where we assume a is known. Find λMLE f(x|λ, α) = α.λ^α.x^α-1exp(-(λx)^α) x > 0, α > 0, λ > 0 Problem 4. Find the MLE of the lower quartile for the distribution in problem 3. Justify that the quantity you calculated is an MLE using known properties of Maximum Likelihood estimation. Bayesian analysis estimation