Suppose you roll two fair six-sided dice. One of them (A) has the numbers 1, 2, 3, 4, 5, and 6 on its faces, and the other (B) has the numbers 1, 3, 4, 5, 6, 8 on its faces.2 Let Z be the random variable whose value is the number on A minus the number on B. (a) What is the pmf for Z? (b) What is the probability that Z is positive?

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