Estimating Quantity $ p _2$ ​ from $ p _1 $​ with Mean Error Correction

Question

If $p_1$ and $p_2$ are two quantities, where $P_1$ and $P_2$ are random variables representing them, and if the mean of the error is $\mu = E(P_1 - P_2)$, can the values of $p_2$ be estimated as $p_2 = p_1 - \mu$?

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