Compute E(x+y)  and Var(x+y) . d.  Compute the covariance and correlation for x and y . If required, round your answers to two decimal places. The random variables x and y are (positively related/negatively related/unrelated)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

(Please answer C and D.)

Given below is a bivariate distribution for the random variables  and .

f(x,y) x y
0.3 90 90
0.5 20 20
0.2 40 60

c. Compute E(x+y)  and Var(x+y) .

d.  Compute the covariance and correlation for x and y . If required, round your answers to two decimal places.

The random variables x and y are (positively related/negatively related/unrelated)

Given below is a bivariate distribution for the random variables x and y.
a. Compute the expected value and the variance for x and y.
E(x) =
E(y)
Var(x)
Var(y) =
b. Develop a probability distribution for x + y (to 2 decimals).
x + y
=
E(x + y)
=
45
49
=
2675
180
40
100
c. Using the result of part (b), compute E(x + y) and Var(x + y).
2643
f(x + y)
0.3
0.5
0.2
f(x,y) x
Covariance
Correlation =
The random variables and y are - Select your answer -
0.3
0.5
0.2
90
20
40
Y
90
20
Var(x + y)
d. Compute the covariance and correlation for x and y. If required, round your answers to two decimal places.
60
Transcribed Image Text:Given below is a bivariate distribution for the random variables x and y. a. Compute the expected value and the variance for x and y. E(x) = E(y) Var(x) Var(y) = b. Develop a probability distribution for x + y (to 2 decimals). x + y = E(x + y) = 45 49 = 2675 180 40 100 c. Using the result of part (b), compute E(x + y) and Var(x + y). 2643 f(x + y) 0.3 0.5 0.2 f(x,y) x Covariance Correlation = The random variables and y are - Select your answer - 0.3 0.5 0.2 90 20 40 Y 90 20 Var(x + y) d. Compute the covariance and correlation for x and y. If required, round your answers to two decimal places. 60
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman