1.A round of a game consists of rolling a six sided die. If the roll is a 5 or 6, the player wins 5 points, if the roll is a 4 the player wins 2 points, and if the roll is a 1, 2, or 3 the player loses 4 points. If a player reaches 50 points, they win the game. a.Find the probability distribution of the random variable X that represents the number of points won after playing the game. b.Find and interpret the mean of X. Does this indicate a problem with the design of the game?

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a Let W be the event that a player wins the game then PW PXgeq 50 Now let Yi be the random variable ... View the full answer