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 that V(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?

Transcribed Image Text:

k· Ok f(x; k, 0) = x*+1 x<0