The pdf of X is f (x) = c/x2, 1 < x < ?.(a) Calculate the

Chapter 3, Problem 10E

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QUESTION:

The pdf of X is \(f(x) = c/x^2, 1 < x < \infty\).

(a) Calculate the value of c so that f(x) is a pdf.

(b) Show that E(X) is not finite.

Questions & Answers

QUESTION:

The pdf of X is \(f(x) = c/x^2, 1 < x < \infty\).

(a) Calculate the value of c so that f(x) is a pdf.

(b) Show that E(X) is not finite.

ANSWER:

Step 1 of 3:

Given that the probability density function of X is f(x)=,1<x<

We have to calculate the value of c and show that E(X) is not finite.


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