A mass function (PMF) for a discrete variable X € {1,2,3} is given by the table X12 3 Let u designate the expected value u = E(X) and o? = Var(X) the variance The moment generating function is given by p(s) = E(e³*) = > P;ex; We suppose that p(s) have the maclaurin series P(s) = ao + a,s + azs2 + a3s³+... Further we suppose that log o(s) have the maclaurin series logo (t) = bo + bịs + b2s2+... Which of the following statements are true 1. µ = 1.75 2. p(t) = 1/2· elt + 1/4 e2t + 1/4 e3t 3. bo = 1 4. az = 0.29

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