Suppose a random variable has support: {0, 1, 2, 4} and its pmf is:
x 0 1 2 4
f(x) 3/7 2/7 1/7 1/7
(a) Calculate an explicit expression for the moment generating function: M(t).
(b) Using your moment generating function, calculate E(X2) and E(X), and thereby the variance.
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Explicit expression for the moment generating function
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