This is regarding the previously asked question: Let $T_1$ and $T_2$ be random times for a company to complete two steps in a certain process. Say $T_1$ and $T_2$ are measured in days and they have the joint PDF that is uniform over the space $1 < t_1 < 10, 2 < t_2 < 6$, and $t_1 + 2t_2 < 14$. What is $P(T_1 + T_2 > 10)$?
Can anyone provide the working steps for me?
What I would do is find the area of the space allowed in your problem (depicted)
I'd then find the area of the space you're looking to find the probability of landing in, which means adding this inequality:
$$t_1 + t_2 > 10$$
Which looks like this:
Divide the second area by that of the first, and you get your probability!