A scalper is considering buying tickets for a particular game. The price of the tickets is $75, and

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A scalper is considering buying tickets for a particular game. The price of the tickets is $75, and the scalper will sell them at $150. However, if she can't sell them at $150, she won't sell them at all. Given that the demand for tickets is a binomial random variable with parameters n=19 and p=0.5, how many tickets should she buy in order to maximize her expected profit?
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