Y (X 1)2 Suppose the random variable X takes on the values 0, 1, and 2 with probabilities 0 2, 0 3, and 0 5, respectively For each of the following random variables Y, find the joint distribution of X and Y, compute the covariance and the correlation, and sketch a graph showing the relationship, between X and Y that includes the range of values X 0, X 1, and X 2

Question: Y = (X - 1)2. Suppose the random variable X takes on the values 0, 1, and 2 with probabilities 0.2, 0.3, and 0.5, respectively.

Y = (X - 1)2. Suppose the random variable X takes on the values 0, 1, and 2 with probabilities 0.2, 0.3, and 0.5, respectively. For each of the following random variables Y, find the joint of X and Y, compute the covariance and the correlation, and sketch a graph showing the relationship, between X and Y that includes the range of values X = 0, X = 1, and X = 2.

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