Step 1: Understanding the Concept:
In a lead accumulator working as a galvanic cell (discharging), the positive electrode is the cathode, where reduction occurs. It is made of \(\text{PbO}_2\).
Step 2: Half reaction:
\[ \text{PbO}_2 + 4\text{H}^+ + \text{SO}_4^{2-} + 2e^- \rightarrow \text{PbSO}_4 + 2\text{H}_2\text{O} \]
Step 3: Oxidation numbers:
In \(\text{PbO}_2\), Pb is +4. In \(\text{PbSO}_4\), Pb is +2. So the oxidation number decreases by 2.
At the negative electrode Pb goes from 0 to +2, which is an increase, but that is not the electrode asked about.
Final Answer:
Pb changes from +4 to +2, a decrease of 2, option (D).
\[ \boxed{\text{decreases by } 2} \]