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A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X be 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 be the proportion of time that the walk-up window is in use. The joint PDF is 6. fxv (x, y) = (x + y²) • What is the probability that neither window is busy more than one- quarter of the time? • What is fy(x)? What is fy(y)?

A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X be 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 be the proportion of time that the walk-up window is in use. The joint PDF is 6. fxv (x, y) = (x + y²) • What is the probability that neither window is busy more than one- quarter of the time? • What is fy(x)? What is fy(y)?

MATLAB: An Introduction with Applications
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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A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X be 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 be the proportion of time that the walk-up window is in use. The joint PDF is fxy (x, y) = (x + y²) What is the probability that neither window is busy more than one- quarter of the time? What is fy(x)? What is fy(y)?
Transcribed Image Text:A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X be 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 be the proportion of time that the walk-up window is in use. The joint PDF is fxy (x, y) = (x + y²) What is the probability that neither window is busy more than one- quarter of the time? What is fy(x)? What is fy(y)?
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