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In: Statistics and Probability

Let f(x) = {(C/x^n if 1≤ x <∞; 0 elsewhere)} where n is an integer >1....

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?

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