Let X1, X2, . . . . X, represent a random sample from a Rayleigh distribution with the following pdf. f ( x ; 0 ) = -e- X-x2/ (20) x > 0 (a) Determine the maximum likelihood estimator of 0. O ( Ex, 2) / 2n O x / 2n O ( Ex , 2 ) In O x O (EX.) / 2n Calculate the estimate from the following n = 10 observations on vibratory stress of a turbine blade under specified conditions. (Round your answer to three decimal places.) 10.96 8.63 11.47 14.94 10.88 4.52 13.42 15.54 10.92 8.45 (b) Determine the mle of the median of the vibratory stress distribution. [Hint: First express the median in terms of 0.] O V 1.38630 O V 1.38630 O (1.38630 )2 O (1.38636)3 1.38630