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Using the joint pmf from Exercise 4.2-3, find the value of

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 7E Chapter 4.3

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 7E

Using the joint pme from Exercise 4.2-3, find the value of \(E(Y \mid x)\) for \(x=1,2,3,4\). Do the points \([x, E(Y \mid x)]\) lie on the best-fitting line?

Equation Transcription:

Text Transcription:

E(Y|x)  

x = 1, 2, 3, 4  

[x,E(Y|x)]

Step-by-Step Solution:

Step 1 of 12:

Lex the joint probability mass function of X and Y be

f(x,y)=; (x,y)=(0,1),(1,0),(2,1)

The number of variables corresponding to x is not equal to the number of variables corresponding to y. So the support is not rectangular. Hence X and Y are dependent.

Mean of X,=1 and mean of Y, =.

Therefore

  Cov(X,Y)=E(XY)- 

                 =(0)(1)+(1)(0)+(2)(1)-1()

                 =0+0+-

                 =0

Thus correlation coefficient  becomes equal to 0, which implies X and Y are independent. But we have that X and Y are dependent.


Step 2 of 8

Chapter 4.3, Problem 7E is Solved
Step 3 of 8

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

The answer to “?Using the joint pme from Exercise 4.2-3, find the value of \(E(Y \mid x)\) for \(x=1,2,3,4\). Do the points \([x, E(Y \mid x)]\) lie on the best-fitting line?Equation Transcription:Text Transcription:E(Y|x) x = 1, 2, 3, 4 [x,E(Y|x)]” is broken down into a number of easy to follow steps, and 37 words. The full step-by-step solution to problem: 7E from chapter: 4.3 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Since the solution to 7E from 4.3 chapter was answered, more than 810 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Best, exercise, Find, fitting, Joint. This expansive textbook survival guide covers 59 chapters, and 1476 solutions.

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Using the joint pmf from Exercise 4.2-3, find the value of