Consider a random sample X1, X2, - - - . X.I from the shifted exponential probability density function . _ Ae'*'\""l, :52 4, \"3"\" _ { D, elsewhere. (a) Obtain the maximum likelihood estimator of A. (b) If a random sample with size n. = 10 are made, resulting in the values 13.11, 10.64, 12.55, 6.20, 5.44, 13.42, 7.39, 8.93, 7.82, and 11.30, calculate the maximum likelihood estimate of A