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you roll a 20-sided die, numbered 1-20. If the number you roll is odd, you get...

you roll a 20-sided die, numbered 1-20. If the number you roll is odd, you get paid that amount in dollars (you roll a 3, you get $3.00). If the number you roll is even, you get paid nothing. What is your expected payoff from this game? Answer to nearest cent

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Answer #1

Let X be the payoff from each roll. Then X takes values 1,3,5,7,.....,19 .with constant probability 1/20 .

So, expected payoff ,E(X) = \frac{1}{20} \times (1+3+5+7+....+19)

=5

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