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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41ca41c3-8478-47bd-9daa-892657595474%2F52ed2448-ee0c-4157-8fb1-6edaffd9a2af%2Fnj6hrsnj_processed.png&w=3840&q=75)
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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