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{"ops":[{"insert":"Usman rolls two dice colored purple and yellow simultaneously. The random variables X and Y are\ndefined as follows:\nX = The number showing on the purple die.\nY = The number of dice that show the number six.\nFor example, if the purple and yellow dice show the numbers 6 and 4, then X = 6 and Y = 1.\na. Write down a table showing the joint probability mass function for X and Y.\nb. Find the marginal distribution for X and Y.\nc. Compute E(X) and E(Y).\nd. Find the covariance of X and Y.\ne. Find the correlation coefficient of X and Y.\n"}]}
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