An American roulette wheel contains 38 numbers: 18 are red, 18 are black, and 2 are green. When the roulette wheel is sp

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An American roulette wheel contains 38 numbers: 18 are red, 18are black,and 2 are green. When the roulette wheel is spun, the ball isequally likely toland on any of the 38 numbers.If the ball lands on a black number, the player wins $8; otherwise,the playerwins $3.The player pays $6 to play each game.Let X be the amount the player gains or loses per game. (Hint: usea negativenumber for X to represent a loss.)a) Construct the probability distribution for the random variableX. b) Calculate the expected value of the random variable X andinterpret itsvalue in the context of the question.