Probability › Events and basic probability › Events, unions and complements

Rebid probability for close bids

University · ●●●○○ 50 pts

Two construction companies make bids

X

and

Y

on a remodeling project. The joint density of

X

and

Y

is uniform on the rectangle

2<x<2.5

2<y<2.3

. If

X

and

Y

are within 0.1 of each other, the companies are asked to rebid; otherwise the lower bidder gets the contract. Find the probability that the companies are asked to rebid. Round to two decimal places.

continuous uniform distribution joint probability geometric probability area of regions