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) = 2 exp { 202 ), 1 20 (b) f(xxo, 0) = 00 *10-1, 1 20, a >0,0>0 (c) f(x|0) = -,0 0 (Hint: You can draw the likelihood function)