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Random variables X and Y have the means and standard deviations as given in the table to the right and Cov(X,Y)= 11,000. Use these parameters to find the expected value and SD of the following random variables that are derived from X and Y. Complete parts (a) through (d). (a) E(3X-100) = 8900 SD(3X-100) = 1200 (Round to two decimal places as needed.) (b) E(0.5Y) = 2500 SD(0.5Y) = 300 X Y Mean 3,000 5,000 SD 400 600

Random variables X and Y have the means and standard deviations as given in the table to the right and Cov(X,Y)= 11,000. Use these parameters to find the expected value and SD of the following random variables that are derived from X and Y. Complete parts (a) through (d). (a) E(3X-100) = 8900 SD(3X-100) = 1200 (Round to two decimal places as needed.) (b) E(0.5Y) = 2500 SD(0.5Y) = 300 X Y Mean 3,000 5,000 SD 400 600

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Random variables X and Y have the means and standard deviations as given in the table to the right and Cov(X,Y)= 11,000. Use these parameters to find the expected value and SD of the following random variables that are derived from X and Y. Complete parts (a) through (d). (a) E(3X - 100) = 8900 SD(3X100) = 1200 (Round to two decimal places as needed.) (b) E(0.5Y) = 2500 SD(0.5Y) = 300 (Round to two decimal places as needed.) (c) E(X+Y) = 8000 SD(X+Y)= 736.21 (Round to two decimal places as needed.) (d) E(X-Y)= SD(X-Y)= (Round to two decimal places as needed.) X Y Mean 3,000 5,000 SD 400 600
Transcribed Image Text:Random variables X and Y have the means and standard deviations as given in the table to the right and Cov(X,Y)= 11,000. Use these parameters to find the expected value and SD of the following random variables that are derived from X and Y. Complete parts (a) through (d). (a) E(3X - 100) = 8900 SD(3X100) = 1200 (Round to two decimal places as needed.) (b) E(0.5Y) = 2500 SD(0.5Y) = 300 (Round to two decimal places as needed.) (c) E(X+Y) = 8000 SD(X+Y)= 736.21 (Round to two decimal places as needed.) (d) E(X-Y)= SD(X-Y)= (Round to two decimal places as needed.) X Y Mean 3,000 5,000 SD 400 600
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