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26-05-2023
Mathematics

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Suppose that X has moment generating function MX(t) = 1/2 + 1/ 3 e^(-4t) + 1/6 e^(5t):
(a) Find the mean and variance of X by dierentiating the moment generating
function to find moments.
(b) Find the probability mass function of X . Use the probability mass function to
check your answer for part (a).

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