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2. In a state lottery a 3 digit integer is selected at random (there are 1,000...

2. In a state lottery a 3 digit integer is selected at random (there are 1,000 such 3 digit numbers). If a player bets $67 on a particular number and if that number is selected, the payoff to the player is $760 minus the $67 paid for the ticket. Let X equal the payoff to the player, namely, -$67 or $693, and find IEX, that is, the player’s expected payoff.

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