Yes this is a wise arrangement in the economy. In this question you need to talk about credibility of the central bank. This is mainly the independence of the central bank from the political decisions of the government which always tries to meddle with economic policy making. The members should not be elected by the people because this will make central bank more prone to populist deciding making. Such decisions are not possible if view of people are taken into account as it is going to harm them.
So, for independence of central bank and establishing the credibility which guides the expectation in the economy it is necessary to keep it away from political decision making.
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