Question: You choose three different numbers at random from the numbers 1, 2, ..., 10. Let X be the smallest of these three numbers and Y

You choose three different numbers at random from the numbers 1, 2, ..., 10. Let X be the smallest of these three numbers and Y the largest. What is the joint probability mass function of X and Y? What are the marginal distributions of X and Y and what is the probability mass function of Y - X?You choose three different numbers at random from the numbers 1, 2, ..., 10. Let X be the smallest of these three numbers and Y the largest. What is the joint probability mass function of X and Y? What are the marginal distributions of X and Y and what is the probability mass function of Y - X?

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