Nowadays, a fast-food restaurant operates both a drive-through facility and a walk-in facility in Turkey. 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 as shown below. Complete parts (a) through (c). f(x.y) = { 13 (6x + 7y), Osxs1, 0sys1 0, elsewhere (a) Find the marginal density of X. Select the correct choice below and fill in the answer box to complete your choice. O A. h(y) = , for 0sys1 O B. 9(x) = , for 0sxs1 (b) Find the marginal density of Y. Select the correct choice below and fill in the answer box to complete your choice. O A. h(y) = , for Osys1 O B. g(x) = for 0sxs1 (c) Find the probability that the drive-through facility is busy less than one-third of the time. The probability is: (Type an integer or a simplified fraction.)

Nowadays, a fast-food restaurant operates both a drive-through facility and a walk-in facility in Turkey. 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 as shown below. Complete parts (a) through (c). f(x.y) = { 13 (6x + 7y), Osxs1, 0sys1 0, elsewhere (a) Find the marginal density of X. Select the correct choice below and fill in the answer box to complete your choice. O A. h(y) = , for 0sys1 O B. 9(x) = , for 0sxs1 (b) Find the marginal density of Y. Select the correct choice below and fill in the answer box to complete your choice. O A. h(y) = , for Osys1 O B. g(x) = for 0sxs1 (c) Find the probability that the drive-through facility is busy less than one-third of the time. The probability is: (Type an integer or a simplified fraction.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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