Assignment:
Let X ~ Exp(Beta).
(a) Find E(X^(-1/2)).
(b) Find an expression for E(Xk), where k is a positive integer.
(c) Use part (b) to show that V(X) = 1 / (Beta^2).
where,
X = Exponential Distribution
E(X) = Expected Value
V(X) = Variance
Provide complete and step by step solution for the question and show calculations and use formulas.