4 Moment generating functions - University of Arizona
j is 1 if the jth trial is a success and 0 if it is a failure. The X j are independent and identically distributed. So the mgf of X is that of X j raised to the n. M X j (t) = E[etX j] = pet +1−p So M X(t) = pet +1− p n 3. which is of course the same result we obtained before.
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