Question: A fast-food restaurant operates both a drive-through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions

A fast-food restaurant operates both a drive-through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is 1. Find the marginal density of X.

2. Find the marginal density of Y.

3. Find the probability that the drive-through facility is busy less than one-half of the time.

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