The pdf of Y is g(y) = d/y3, 1 < y < ∞.

(a) Calculate the value of d so that g(y) is a pdf.

(b) Find E(Y).

(c) Show that Var(Y) is not finite.

Step 1 of 4:

Given that the probability density function(pdf) of Y is,

g(y)=;1<y<

Firstly we have to find the value of E(Y) and then we have to show that Var(Y) is infinite.