Given the following CDF

what is
$$P(T > 3)$$
If it was T greater than or equal to 3, how would the answer change? Will we add the probability of 3 in the answer?
Given the following CDF

what is
$$P(T > 3)$$
If it was T greater than or equal to 3, how would the answer change? Will we add the probability of 3 in the answer?
Copyright © 2021 JogjaFile Inc.
$P(T>3)=1-P(T \leq 3)=1-F(3)$. (In this case $P(T=3)$ is included in the subtraction and thus is not included in the final result, as it should be.)
$P(T \geq 3)=1-P(T<3)=1-\lim_{t \to 3^-} F(t)$. (In this case $P(T=3)$ is not included in the subtraction and thus is included in the final result, again as it should be.)