1. (30 points) Find the Maximum Likelihood Estimation (MLE) of 0 in the following probabilistic density functions. In each case, consider a random sample of size n. Show your calculation: (a) f(x|0) = = exp (27), x20 (b) f(xo, 0) = a0-"x"-1exp{ -(;)"}, x 20,a > 0,0>0 (c) f(x|0) = 1,0 0 (Hint: You can draw the likelihood function)