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Your friend Phil, asks you what you think about a new scratch-off lottery game. It costs $10 to play this game, There are two outcomes

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Your friend Phil, asks you what you think about a new scratch-off lottery game. It costs $10 to play this game, There are two outcomes for the game (win, lose) and the probability that a player wins a game is 60%. A win results in $15, for a net win of $5 ($15 minus the $10 paid to play). The probability distribution for x (the amount of money a player wins or loses) in a single game is as follows: T - Net Money Won or Lost P(x) - Probability Win 0.60 Lose 0.40 Using the information in the table, complete the following 1. Interpret the table. There is a chance of winning and a chance of losing 2. What is the expected value of x? E(x) 3. What is the standard deviation? o (Round to then nearest hundredth) Question Source: Illustrative Mathematics https://www.illustrativemathematics.org/content

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