Quiz 6

.docx

School

Louisiana State University *

*We aren’t endorsed by this school

Course

3201

Subject

Industrial Engineering

Date

Apr 3, 2024

Type

docx

Pages

1

Uploaded by SargentGalaxy15186 on coursehero.com

Problem #3 A fast-food restaurant operates both a drive-in facility and a walk-in facility. Let X and Y be the proportions of time that the drive-in and walk-in facilities are in use (respectively), and the joint density function of X and Y is given: f ( x, y )= { 2 3 ( x + 2 y ) , 0 ≤ x≤ 1 , 0 ≤ y≤ 1 0 , elsewhere } 1. Find the marginal density of X g(x) = Answer: 2 3 x + 2 3 2. Find the marginal density of Y: h(y) = Answer: 2 6 + 4 y 3 3. Find the probability that the drive-in facility is busy less than one-half of the time. =P(X≤0.5) Answer: 0.417 Problem #4 Given: f(x,y)=4xy for 0≤x≤1, 0≤y≤1 P( 0≤x≤0.5 , 0.25≤y≤0.5 )? Answer: 0.046875 g(x)? Answer: 2x
Discover more documents: Sign up today!
Unlock a world of knowledge! Explore tailored content for a richer learning experience. Here's what you'll get:
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help