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With a continuous random variable, X, it is evident that the sum of the usual upper-tail probability, P(Xx), and the lower-tail probability, P(Xx), is 1. However, with a discrete random variable this sum is equal to 1+P(X=x). This suggests that, for example, the calculation of the upper-tail probability should then use mid-P, defined as .

Subjects: Probability and Statistics.

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