Let X have the Pareto pdf introduced in Exercise 10. a. If k>1, compute E(X...

Let X have the Pareto pdf

introduced in Exercise 10.

a. If k>1, compute E(X).

b. What can you say about E(X) if k=1?

c. If k>2 , show thatV(X) = kθ² (k – 1)^{– 2}(k –2)^–1.

d. If k=2, what can you say about V(X)?

e. What conditions on k are necessary to ensure that E(Xⁿ) is finite?