2. A privately owned business operates both a drive-in and a walk-in facility. On a random day, the proportions of time that the drive-in and the walk-in facilities are in use are represented by X and Y, respectively, and have the joint density function ƒ(x, y) = (2x + 3y), 0≤x≤1, 0≤y≤ 1. Find the probability that on a random day, both facilities are used more than 50% of the time, i.e. X> 0.5 and Y > 0.5. 2

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