Consider the joint probability distribution below. Complete parts (a) through (c). Y 0 1 1 0.50 0.00 0.50 0.00 a. Compute the marginal probability distributions for X and Y X X 0.50 2 0.00 0.50 2 0.00 0.50 0.50 C P(y) 0.50 0.50 P(x) (Type integers or decimals.) b. Compute the covariance and correlation for X and Y Cov(X,Y)= 0.25 (Type an integer or a decimal.) Corr(X,Y)= 1.000 (Round to three decimal places as needed.) c. Compute the mean and variance for the linear function W-7X-7Y. Hw-(Type an integer or a decimal) CETTE
Consider the joint probability distribution below. Complete parts (a) through (c). Y 0 1 1 0.50 0.00 0.50 0.00 a. Compute the marginal probability distributions for X and Y X X 0.50 2 0.00 0.50 2 0.00 0.50 0.50 C P(y) 0.50 0.50 P(x) (Type integers or decimals.) b. Compute the covariance and correlation for X and Y Cov(X,Y)= 0.25 (Type an integer or a decimal.) Corr(X,Y)= 1.000 (Round to three decimal places as needed.) c. Compute the mean and variance for the linear function W-7X-7Y. Hw-(Type an integer or a decimal) CETTE
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the joint probability distribution below. Complete parts (a) through (c).
C
1
0
1
0.50
0.00
1
0.50
0.00
a. Compute the marginal probability distributions for X and Y.
0.50
X
X
2
0.00
0.50
2
0.00
0.50
P(y)
P(x)
(Type integers or decimals.)
b. Compute the covariance and correlation for X and Y
Cov(X,Y)= 0.25 (Type an integer or a decimal.)
0.50
0.50
0,50
Corr(X,Y)= 1.000 (Round to three decimal places as needed.)
c. Compute the mean and variance for the linear function W=7X-7Y.
Hw=(Type an integer or a decimal)
EITB
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