Assume a series of n independent and identically distributed Bernoulli random i.i.d. variables: Bi Bernoulli(p) for i = 1, 2, 3, ..., n. Question part 2: Derive the MGF of X = B1 + B2+..+Bn = E=1 Bi vi=1 Hint: recall that for independent random variables X and Y and functions f() and g(), E[f(X)q{Y)] = E[r(x)] E[oC)] %3D O п(1 — р+ pe") enpt О (1 -р+pе')п O n(e (1 — р) + р)

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