Question: 3. Let X1, X2, ..., Xn be i.i.d. random variables with density f (x; 0) = [ e(0-x)/7/y, if x 2 0 0 else 0

3. Let X1, X2, ..., Xn be i.i.d. random variables with density f (x; 0) = [ e(0-x)/7/y, if x 2 0 0 else 0 being unknown parameter and y > 0 a fixed constant. a) Sketch a graph of a density from this family for fixed 0 = 1 and y = 1. b) Find the cumulative distribution function Fx (y; 0) and the density fx,, (y; 0) of the smallest of the observations, X(1). (Don't treat 0 and y as specific values any more) . Hint: you could use P(X(1)

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