Prove that Equation (5.2) suffices for showing that P[LD(A(S))≥ 1/8] ≥ 1/7.

1. Prove that Equation (5.2) suffices for showing that P[LD(A(S))≥ 1/8] ≥ 1/7.

Hint: Let θ be a random variable that receives values in [01] and whose expectation satisfies E[θ] ≥ 1/4. Use Lemma B.1 to show that P[θ ≥ 1/8] ≥ 1/7.

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