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A carnival game consists of selecting 3 balls simultaneously and at random from a box containing 5 red balls and 3 green balls. Each red

A carnival game consists of selecting 3 balls simultaneously and at random from a box containing 5 red balls and 3 green balls. Each red ball selected pays $.20, and each green ball pays $.50. It costs $1.00 to play the game. A random variable X is defined by associating with each play of the game the net payoff to the player. Find the density function of X

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