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). Mean SD 3,000 5,000 400 Y 600 (а) Е(3X - 100) %3D 8900 SD(3X - 100) = 400 (Round to two decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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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).
Мean
SD
3,000
5,000
400
Y
600
(а) E(3X - 100) %3D 8900
SD(3X - 100) = 400
(Round to two decimal places as needed.)
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). Мean SD 3,000 5,000 400 Y 600 (а) E(3X - 100) %3D 8900 SD(3X - 100) = 400 (Round to two decimal places as needed.)
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