A merchant is considering a purchase of autographed sports memorabilia for resale to collectors. The probabilities of

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A merchant is considering a purchase of autographed sports memorabilia for resale to collectors. The probabilities of various possible incomes from reselling these collectibles are estimated in the following table:

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The merchant believes that, in order to make this purchase worthwhile, the expected profit must be at least \(\$ 200\). Should the collectibles be purchased if the cost is \(\$ 500\) ?

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