P(error) = 0.6 * 0.1 + 0.4 * 0.1 = 0.1
E[Y(t)] = E[X(t)] * |H(0)| = 0
P(X = 50) = (100 choose 50) * (0.5)^50 * (0.5)^50 ≈ 0.08
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