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Let X 1 , X 2 , ... , X n be a random sample from the distribution with probability density function f(x; Θ) = [Θ / 2sqrt(x)] * e^[-Θsqrt(x)], x > 0 , Θ > 0

a) Find the sufficient statistic Y = u ( X 1 , X 2 , ... , X n ) for Θ.
b) What is the probability distribution of W = sqrt(X)?
c) What is the probability distribution of sigma notation from i = 1 to n (sqrt(Xi))?

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