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R.6. Data on t-shirt sales was collected. Let X be a random variable taking values 0,1,2,3 for small, medium, large and extra-large sizes. Also, let Y be a random variable

encoding the sleeve length, taking values 0 and 1 for long-sleeved and short-sleeved. (a) determine the joint probability mass function for X and Y , and the marginal probabilities of X and Y. (b) Find the covariance and correlation of X and Y.

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