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A certain state lottery game works like this: A ticket costs $2. When you buy a ticket, you choose a 3-digit number from 0 to

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A certain state lottery game works like this: A ticket costs $2. When you buy a ticket, you choose a 3-digit number from 0 to 999. If your number matches the 3-digit number that is later selected, then you win the prize, which is $850. The probability of winning the prize when buying one ticket is 0.001. Find the expected value (mean) of your net profit when playing this game. Use dollars as the units for your answer, but don't write the dollar sign

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