A farmer wants to get an estimate of insect damage in his corn crop, so he randomly selects \(75\) plants from different areas in the cornfield and inspects each plant for damage. Of those \(75\) plants, \(9\) of them show an infestation of corn borers. He knows that there are about \(31,000\) plants per acre and he has a \(50\) acre field. How many infested plants would you expect to exist in the \(50\) acre field?
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