(Answered) Question darts find the standard deviation of your winnings

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Question: Darts. Find the standard deviation of your winnings throwing darts in Exercise.

Exercise: Carnival. A carnival game offers a $100 cash prize for anyone who can break a balloon by throwing a dart at it. It costs $5 to play, and you're willing to spend up to $20 trying to win. You estimate that you have about a 10% chance of hitting the balloon on any throw.

a) Create a probability model for this carnival game.

b) Find the expected number of darts you'll throw.

c) Find your expected winnings.

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