Question: Suppose x and y are two iid Bernoulli distributed random variables over the set {0,1}. Both x and y have a parameter P = P[X=1]

  1. Suppose x and y are two iid Bernoulli distributed random variables over the set {0,1}. Both x and y have a parameter P = P[X=1] = P[Y=1] = . Define W = X+Y as the sum of the two. Then W is Bernoulli distributed with parameter P = .

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