In: Statistics and Probability
Let f(x) = {(C/x^n if 1≤ x <∞; 0 elsewhere)} where n is an integer >1.
a. Find the value of the constant C (in terms of n) that makes this a probability density function.
b. For what values of n does the expected value E(X) exist? Why?
c. For what values of n does the variance var(X) exist? Why?