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A city has a game called Pick 4. Each player pays $1.00 and picks one four-digit number (from 0000 to 9999). If your number is

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A city has a game called Pick 4. Each player pays $1.00 and picks one four-digit number (from 0000 to 9999). If your number is randomly selected, then you win $2500. a) Fill in the table below with the probability distribution for a player's winnings. Please enter your X values from smallest to largest, to make grading simpler. Give answers as fractions or exact decimals. X P(X) b) If someone plays this game, their expected value is -0.75. Which of the following is the correct interpretation of this? O Every time you play this lottery you will lose $0.75. O Every time you play this lottery you will win $0.75. O If you play this lottery many times, you can expect to lose an average of $0.75 per game. Olf you play this lottery many times, you can expect to win an average of 50.75 per game. O Every time you play this lottery you will lose. O Every time you play this lottery you will win

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