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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.

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.

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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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 f(x, y) = { 7(x* + y²), 0<x,y< 1 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.
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 f(x, y) = { 7(x* + y²), 0<x,y< 1 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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