Which property of the moment generating function allows us to uniquely determine the distribution of a random variable?

Question

Which property of the moment generating function allows us to uniquely determine the distribution of a random variable?
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Solution 1

The property of the moment generating function (MGF) that allows us to uniquely determine the distribution of a random variable is its uniqueness property.

Here are the steps to understand this:

  1. Definition: The moment generating function of a random variable X is defined as M(t) = E(e^(tX)), w Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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