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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
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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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
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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