9. Let X be the outcome of a biased die when thrown. Suppose that the probability mass

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9. Let X be the outcome of a biased die when thrown. Suppose that the probability mass function of X is given by

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If the die is thrown 8 times, what is the probability that the sum of the outcomes is 11?
Hint: Use the multinomial expansion, Theorem 2.6, to find the coefficient of e11t in the expansion of
MX(t)
8 .

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Fundamentals Of Probability With Stochastic Processes

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Authors: Saeed Ghahramani

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9. Let X be the outcome of a biased die when thrown. Suppose that the probability mass

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i 1 2 3 4 5 6 p(i) 1/12 3/12 2/12 1/12 4/12 1/12

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Fundamentals Of Probability With Stochastic Processes

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