Kindly work this out

MATH351, Lecture MATH101 Lechung MATH381_Sheets .. 1 4 2 13 146% = 9. 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 f (x, y) = Osxsl, Osys1 3 (x + 2y) 0 elsewhere a. Find the marginal density of X. b. Find the marginal density of Y. c. Find the probability that the drive-through facility is busy less than one-half of the time. 1 381, Sheet02, Spring 17/18 Page o searchProblem IV. (30 points). Be sure to show all work for full credit. A fast food restaurant operates both a drive-in-through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is 6(xty)2 7 0