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Q 2.6. Suppose that (X,Y) are the co-ordinates of the random point chosen uniformly at random from the ellipse shown below. Which of the following statements are true and which are false, briefly justify your answers. 1. Cov[X, Y] > 0. 2. Var[X]> Var[Y]. 3. E[X] > E[Y]. [3] -3 -2 -1 4 3 2 1 0 1

Q 2.6. Suppose that (X,Y) are the co-ordinates of the random point chosen uniformly at random from the ellipse shown below. Which of the following statements are true and which are false, briefly justify your answers. 1. Cov[X, Y] > 0. 2. Var[X]> Var[Y]. 3. E[X] > E[Y]. [3] -3 -2 -1 4 3 2 1 0 1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Q 2.6. Suppose that (X, Y) are the co-ordinates of the random point chosen uniformly at random from the ellipse shown below. Which of the following statements are true and which are false, briefly justify your answers. 1. Cov[X, Y] > 0. 2. Var[X] > Var[Y]. 3. E[X] > E[Y]. [3] -5 -4 + -3 -2 -1 4 3 2 1 Y 0 1 X
Transcribed Image Text:Q 2.6. Suppose that (X, Y) are the co-ordinates of the random point chosen uniformly at random from the ellipse shown below. Which of the following statements are true and which are false, briefly justify your answers. 1. Cov[X, Y] > 0. 2. Var[X] > Var[Y]. 3. E[X] > E[Y]. [3] -5 -4 + -3 -2 -1 4 3 2 1 Y 0 1 X
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