2. (36 points) Suppose that Y1, ..., Y, is a random sample from a population whose density is f(y|0) = 303y-4, yz0. for some parameter 0 > 0. As we showed in class, the maximum likelihood estimator of 0 is OMLE = min {Y1, . .., Yn}. (a) Calculate B(OMLE), the bias of OMLE. (b) Calculate MSE(OMLE), the mean-square error of OMLE. (c) Calculate MLE' the standard error of OMLE