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Probability mass function for positive difference

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Let X be the positive difference between the scores obtained from two dice.
a. find the probability mass function for X
b. show that X follows a valid probability mass function
c. Find P(X>=2)
d. Find mu
e. Find the variance

[Hint: An example of a positive difference is |2-6|=4. So zero is considered a positive difference.]

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This solution helps go through problems regarding the probability mass function for the positive difference between two dice.

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