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  • https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/DSCI_500B_Essential_Probability_Theory_for_Data_Science_(Kuter)/03%3A_Discrete_Random_Variables/3.02%3A_Probability_Mass_Functions_(PMFs)_and_Cumulative_Distribution_Functions_(CDFs)_for_Discrete_Random_Variables
    In the case that X is a discrete random variable, with possible values denoted x1,x2,,xi,, the cdf of X can be calculated using the third property of pmf's (Equation \re...In the case that X is a discrete random variable, with possible values denoted x1,x2,,xi,, the cdf of X can be calculated using the third property of pmf's (Equation ???), since, for a fixed xR, if we let the set A contain the possible values of X that are less than or equal to x, i.e., A={xi | xix}, then the cdf of X evaluated at x is given by

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