Two construction companies make bids of X and Y on a remodeling project. The joint pdf of X and Y is uniform on the space 2

Question

Two construction companies make bids of X and Y on a remodeling project. The joint pdf of X and Y is uniform on the space 2<x<2.5, 2<y<2.3
If X and Y are within 0.1 of each other, the companies will be asked to rebid; otherwise, the low bidder will be awarded the contract. What is the probability that they will be asked to rebid?
Please, help me interpret the problem.

michele_laino · Answer

please note that you have to perform two simply integration, because:
$$\int\limits_{0}^{1}cydy \int\limits_{0}^{y ^{2}}e ^{x}dx$$