Let the pmf of X be defined by f(x) = 6/(2x2), x = 1, 2, 3, .... Show that E(X) = + and

Chapter 2, Problem 2.2-6

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QUESTION:

Let the pmf of X be defined by f(x) = 6/(2x2), x = 1, 2, 3, .... Show that E(X) = + and thus, does not exist.

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QUESTION:

Let the pmf of X be defined by f(x) = 6/(2x2), x = 1, 2, 3, .... Show that E(X) = + and thus, does not exist.

ANSWER:

Step  1 of 3

The probability mass function is as follows:

Substitute in the probability mass function.

Substitute in the probability mass function.

Substitute in the probability mass function.

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