Consider the joint probability distribution below. Complete parts (a) through (c). Y Y 0 1 0 1 Pw 0.30 0.40 a. Compute the marginal probability distributions for X and Y. 0.30 0.40 X X 2 0.10 0.20 2 0.10 0.20 P(y) P(x) (Type integers or decimals.) b. Compute the covariance and correlation for X and Y. Cov(X,Y)= (Round to four decimal places as needed.) Corr(X,Y)= (Round to three decimal places as needed.) c. Compute the mean and variance for the linear function W=X+Y. (Round to two decimal places as needed.) (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Consider the joint probability distribution below. Complete parts (a) through (c).
X
1
2
0
0.30
0.10
1
0.40
0.20
a. Compute the marginal probability distributions for X and Y.
X
2
P(y)
Y
0
0.30
0.10
1
0.40
0.20
P(x)
(Type integers or decimals.)
b. Compute the covariance and correlation for X and Y.
Cov(X,Y)=
(Round to four decimal places as needed.)
Corr(X,Y)=
(Round to three decimal places as needed.)
c. Compute the mean and variance for the linear function W=X+Y.
|Hw=
(Round to two decimal places as needed.)
ow
= (Round to four decimal places as needed.)
Transcribed Image Text:Consider the joint probability distribution below. Complete parts (a) through (c). X 1 2 0 0.30 0.10 1 0.40 0.20 a. Compute the marginal probability distributions for X and Y. X 2 P(y) Y 0 0.30 0.10 1 0.40 0.20 P(x) (Type integers or decimals.) b. Compute the covariance and correlation for X and Y. Cov(X,Y)= (Round to four decimal places as needed.) Corr(X,Y)= (Round to three decimal places as needed.) c. Compute the mean and variance for the linear function W=X+Y. |Hw= (Round to two decimal places as needed.) ow = (Round to four decimal places as needed.)
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