Likelihood increases with μ up to min X_i,so μ̂=min X_i. Median=μ+ln 2,thus M̂=min X_i+ln 2. When μ=1,the minimum minus 1 is Exp(rate n). At threshold 2,the CDF is 1−exp[−n(2−ln 2−1)],giving **A**.
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