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A real estate agent is trying to sell a house. It will cost her $1000 to list the house. If she sells it herself, she

A real estate agent is trying to sell a house. It will cost her $1000 to list the house. If she sells it herself, she will earn 6% of the selling price. If someone else sells it off of her listing, she will earn 3% of the selling price. If it remains unsold after 1 year then she loses the $1000. If the probability is .4 that she sells it herself and .3 that someone else sells it, what is the expected profit for listing a $140,000 house?

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