Question: Please answer only True if the statement is completely and always True, and False otherwise; clearly state your answers otherwise. Always show your reasoning/work (even

Please answer only True if the statement is completely and always True, and False otherwise; clearly state your answers otherwise. Always show your reasoning/work (even for the True/False questions)!

X is a Bernoulli random variable with parameter p. X1, ...Xn is an i.i.d sample of X.

  1. E(X) = p
  2. Var(3X) =?
  3. P(X1 = 1, X2 = 0) = P(X1 = 1) P(X2 = 0)

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