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 (Round to two decimal places as needed.) (c) 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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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) =
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) = SD(X+Y)= (Round to two decimal places as needed.) X Y Mean 3,000 5,000 SD 400 600
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