Question: 1. Let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 0) = (0+ 1)(1 -x),0 -1.

1. Let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 0) = (0+ 1)(1 -x),0-1. a) Show that this is an exponential family. b) Find a unidimensional sufficient statistic Y = u(X1, X2, ..., Xn) for 0

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