Two service lines are operated in a service facility. On a randomly selected day, let X be the proportion of the time that the first line is in use whereas Y is the proportion of time that the second line is in use. Suppose that the joint probability density function for (X, Y) is {(2²+y² ), 0
Two service lines are operated in a service facility. On a randomly selected day, let X be the proportion of the time that the first line is in use whereas Y is the proportion of time that the second line is in use. Suppose that the joint probability density function for (X, Y) is {(2²+y² ), 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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Transcribed Image Text:Two service lines are operated in a service facility. On a randomly selected day, let X be the proportion of the time that the first line is in use whereas Y is the
proportion of time that the second line is in use. Suppose that the joint probability density function for (X, Y) is
{(2²+y² ), 0 <x, y < 1
f(x, y) =
elsewhere
a. Compute the probability that neither line is busy more than half the time.
b. Find the probability that the first line is busy more than 75% of the time.
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