2 -1 -2 -3 -4 2 Scenario 1 3 2 1 ° -1 Scenario 2 Scenario 3 5 -5 -4 -3 -2 -1 1 3 -5 -4 -3 -2 -1 01 Scenario 4 4 3 1 0 -1 -2 -3 -4 Scenario 5 4 3 2 1 ° -1 -2 -3 -5 3 -5 -4 -3 -2 -1 1 2 3 4 Scenario 6 4 3 2 1 0 -1 -2 -3 -5 -5 -5 -5 -4 -3 -2 -1 1 3 5 -5 -3 -1 1 3 -5 -1 0 1 2 3 4 5

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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We have provided several scenarios describing pairs of (continuous) random variables via contour plots, scatter plots, and equations. For each of the following parts, list the scenarios that satisfy the specified criteria. For the equations, this will require some quick calculations, but for the contour and scatter plots you should be able to reason visually without calculations.

(a) E[X] noticeably more than 0

(b) E[Y ] noticeably less than 0

(c) Var[X] noticeably larger than Var[Y ]

(d) Cov[X, Y ] noticeably more than 0

(e) absolute val (ρX,Y) close to 1 

2
-1
-2
-3
-4
2
Scenario 1
3
2
1
°
-1
Scenario 2
Scenario 3
5
-5
-4
-3
-2
-1
1
3
-5
-4
-3
-2
-1 01
Scenario 4
4
3
1
0
-1
-2
-3
-4
Scenario 5
4
3
2
1
°
-1
-2
-3
-5
3
-5
-4
-3
-2
-1
1
2 3 4
Scenario 6
4
3
2
1
0
-1
-2
-3
-5
-5
-5
-5
-4
-3
-2
-1
1
3
5
-5
-3
-1
1
3
-5
-1
0
1
2
3
4
5
Transcribed Image Text:2 -1 -2 -3 -4 2 Scenario 1 3 2 1 ° -1 Scenario 2 Scenario 3 5 -5 -4 -3 -2 -1 1 3 -5 -4 -3 -2 -1 01 Scenario 4 4 3 1 0 -1 -2 -3 -4 Scenario 5 4 3 2 1 ° -1 -2 -3 -5 3 -5 -4 -3 -2 -1 1 2 3 4 Scenario 6 4 3 2 1 0 -1 -2 -3 -5 -5 -5 -5 -4 -3 -2 -1 1 3 5 -5 -3 -1 1 3 -5 -1 0 1 2 3 4 5
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