Let X have the Pareto pdf introduced in Exercise 10. a. If , compute E(X). b. What

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Let X have the Pareto pdf introduced in Exercise 10.

a. If , compute E(X).

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

c. If , show that .

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

e. What conditions on k are necessary to ensure that is finite?

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