For every random variable, both discrete and continuous,
$$P ( a \leq x \leq b ) = P ( a

Question

For every random variable, both discrete and continuous,
$$P ( a \leq x \leq b ) = P ( a < x < b ) \text {. }$$

Quizplus · Accepted Answer

This statement is only true for continuous random variables. For discrete random variables, since the probability of any single point is zero, we need to use the less than or equal to operator (instead of just the less than operator) to capture the probability of the endpoints. Therefore, for discrete random variables, $P(a \leq x \leq b) 
eq P(a < x < b)$.

For Every Random Variable, Both Discrete and Continuous P(a≤x≤b)=P(a<x<b). P ( a \leq x \leq b ) = P ( a < x < b ) \text {. }P(a≤x≤b)=P(a<x<b).

For Every Random Variable, Both Discrete and Continuous $P ( a \leq x \leq b ) = P ( a < x < b ) \text {. }$