Let X be a continuous random variable with probability density function 2x f(1; 0) = () -x² /0 for x > 0 (and zero otherwise), e where 0 > 0 is an unknown parameter, and let X1, X2, ..., Xn be a random sample fror the distribution of X. Show that T= = 1 >X? is a maximum likelihood estimator of 0. n i=1

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