#6. Let X1, X2, X3 be iid, binomial(1, p). Let T = X1 + X2 + 2X3. The purpose of this problem is to determine whether T is a sufficient statistic for p. Recall that the definition says that T is sufficient for p if for all p E [0, 1] PX1,X2, X3 T (X1, X2, 3 T = X1 + x2 + 2x3) does not depend on p. Let's examine one particular instance of this definition. Compute PX1,X2,X3 T(0, 0, 1 | T = 2). Does it depend on p? Is T a sufficient statistic for p