Discrete Cumulative Probability Distribution

Question

Given F(x) = P(X <= x) for a discrete random variable which of the following is generally true

$P(a <= X <= b) = F(b) - F(a), P(a < X < b) = F(b) - F(a), P(a <= X < b) = F(b) - F(a), P(a < X <= b) = F(b) - F(a)$

Please see https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference — Angina Seng, Apr 18 '20 at 13:50

score 0 · Accepted Answer · answered Apr 18 '20 at 14:33

0

Since the variable is discrete, it is generally correct the following: $$P(a<x\leq b)=F(b)-F(a)$$

answered Apr 18 '20 at 14:33

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1 Answers1