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1, f(y₁, y2) = = {1 0≤ y ≤ 2, 0- 0, elsewhere. uction in amount of pollutant due to the clear the probability density function for U. the answer in part (a) to find E(U). Comp

1, f(y₁, y2) = = {1 0≤ y ≤ 2, 0- 0, elsewhere. uction in amount of pollutant due to the clear the probability density function for U. the answer in part (a) to find E(U). Comp

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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6.6 The joint distribution of amount of pollutant emitted from a smokestack without a cleaning device (Y₁) and a similar smokestack with a cleaning device (Y₂) was given in Exercise 5.10 to be [1, 0, 0≤ y ≤ 2, 0≤ y ≤ 1, 2y2 ≤ ₁, elsewhere. The reduction in amount of pollutant due to the cleaning device is given by U = Y₁ - Y₂. f(y₁, y2) = a Find the probability density function for U. b Use the answer in part (a) to find E(U). Compare your results with those of Exercise 5.78(c).
Transcribed Image Text:6.6 The joint distribution of amount of pollutant emitted from a smokestack without a cleaning device (Y₁) and a similar smokestack with a cleaning device (Y₂) was given in Exercise 5.10 to be [1, 0, 0≤ y ≤ 2, 0≤ y ≤ 1, 2y2 ≤ ₁, elsewhere. The reduction in amount of pollutant due to the cleaning device is given by U = Y₁ - Y₂. f(y₁, y2) = a Find the probability density function for U. b Use the answer in part (a) to find E(U). Compare your results with those of Exercise 5.78(c).
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