Question: Let X be a random variable such that M_X (t) is finite for all t. Use the same argument as in Chebyschev's inequality test to

Let X be a random variable such that M_X (t) is finite for all t. Use the same argument as in Chebyschev's inequality test to conclude that

P (X ) ().

It follows that

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provided that e ^ {- tx} M_X (t) reaches a minimum over 0 ? t

image

???

P (X ) ().

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