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2. Suppose Yl, ..., Yn is a random sample and Yn = _ _ _Y, is the sample mean. In addition, suppose that E(Y )

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2. Suppose Yl, ..., Yn is a random sample and Yn = _ _ _Y, is the sample mean. In addition, suppose that E(Y ) = #, and the moment- generating function my is well defined. Using cumulant-generating functions, prove that Yn -> u as n - co. Why can we deduce that Yn ->u? [This is known as the weak law of large numbers

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