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If X is B(n, p) and Y is B(m, p), both independent, X + Y follows what?

AB(nm, p)
BB(n + m, 2p)
CB(n + m, p)
DB(n, p + p)
Answer & Solution
Correct answer: C. B(n + m, p)
Adding n and m independent Bernoulli variables with the same p gives n + m of them.
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