Correct answer: (B) The sample average consistently estimates λ.
Explanation
The sample mean has expectation λ+(1−2⁻ⁿ)/n→λ and variance [nλ+(1−2⁻ⁿ)]/n²→0. Its mean-square error tends to zero, proving consistency B, though finite-sample bias is positive. The unscaled sum grows with n and the n⁻²-scaled sum tends to zero. **B**.
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