MATH

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Suppose you toss a coin and will win \$1 if it comes up heads. If it comes up tails, you toss again. This time you will receive \$2 if it comes up heads. If it comes up tails, toss again. This time you will receive \$4 if it comes up heads. Continue in this fashion for a total of 10 flips of the coin, after which you receive nothing if it comes up tails. What is the mathematical expectation for this game?

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