Question: 6. (20 points) Let X,..., Xbe a random sample from a distribution with density function and zero elsewhere. a. (10 pts) statistic for 0.

6. (20 points) Let X,..., Xbe a random sample from a distribution with density function and zero elsewhere. a. (10 pts) statistic for 0.

6. (20 points) Let X,..., Xbe a random sample from a distribution with density function and zero elsewhere. a. (10 pts) statistic for 0. f(x|0) = e(x0) 0 < x < +, Using the definition of a sufficient statistic, show that X (1) is a sufficient - b. (10 pts) Let U = n(X(1) 0). Find the pdf of U.

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