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24yıy2, 0< yı < 1, 0 < y2 < (0, fV1, y2) = %3D elsewhere Find the cov(Y,,Y2) is it possible for Y, and Y o beindependent?

24yıy2, 0< yı < 1, 0 < y2 < (0, fV1, y2) = %3D elsewhere Find the cov(Y,,Y2) is it possible for Y, and Y o beindependent?

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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- A nut company markets cans of deluxe mixed nuts containing almonds, cashews, and peanuts. Suppose the net weight of each can is exactly one pound, but the weight contribution of each type of nut is ran- dom. Because the three weights sum to 1, a joint probability model for any two gives all the necessary information about the weight of the third type. Let Y1 denote the weight of the almonds in a selected can and Y2 denote the weight of cashews. Then the joint probability density function is fV1, y2) = {2491Y2, 0<yj < 1, 0 < y2 < 1, y1 < y2 < 1 elsewhere 0, - Find the cov(Ye,Y) -is it possible for Y, and Y2 to beindependent?
Transcribed Image Text:- A nut company markets cans of deluxe mixed nuts containing almonds, cashews, and peanuts. Suppose the net weight of each can is exactly one pound, but the weight contribution of each type of nut is ran- dom. Because the three weights sum to 1, a joint probability model for any two gives all the necessary information about the weight of the third type. Let Y1 denote the weight of the almonds in a selected can and Y2 denote the weight of cashews. Then the joint probability density function is fV1, y2) = {2491Y2, 0<yj < 1, 0 < y2 < 1, y1 < y2 < 1 elsewhere 0, - Find the cov(Ye,Y) -is it possible for Y, and Y2 to beindependent?
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