A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X= the proportion of time that the drive-up facility is in use (at least one customer is being served or waiting to be served) and Y=the proportion of time that the walk-up window is in use. Suppose the joint probability density function of X and Y is given by f(z, y) = 0

A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X= the proportion of time that the drive-up facility is in use (at least one customer is being served or waiting to be served) and Y=the proportion of time that the walk-up window is in use. Suppose the joint probability density function of X and Y is given by f(z, y) = 0

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X= the proportion of time that the drive-up facility is in use (at least one customer is being served or waiting to be served) and
Y=the proportion of time that the walk-up window is in use. Suppose the joint probability density function of X and Y is given by
f(2, 4) = (z + y*),
6
(x +y²),
0 < y<1
0 <x<1,
The probability that neither facility is busy more than one-quarter of the time is
Select one:
a. 0.67
b. 0.0004
c. 0.0109
d. 0.101968

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