You are going to conduct a survey of the voters in the city you live in. They are being asked whether or not the city should build a new convention facility. You believe that most of the voters will disapprove the proposal because it may lead to increased property taxes for residents. As a resident of the city, you have been hearing discussion about this proposal, and most people have voiced disapproval. You think that only about 35% of the voters will support this proposal, so you decide that a beta(7; 13) summarizes your prior belief. However, you have a nagging doubt that the group of people you have heard voicing their opinions is representative of the city voters. Because of this, you decide to use a mixture prior:

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g(i): = 90 (T) if i = 0, 91() if i=1.