Let Xand Y be two continuous random variables with joint probability density 3x function given by: f(x.y)%3D 0sysxsl elsewhere 3. with E(X) =, E(X)=, E(Y) = , E(Y³) = - and E(XY) =- 4 10 Then the value of the variance of 2.X+Y is: O 3/80 O 91/320
Let Xand Y be two continuous random variables with joint probability density 3x function given by: f(x.y)%3D 0sysxsl elsewhere 3. with E(X) =, E(X)=, E(Y) = , E(Y³) = - and E(XY) =- 4 10 Then the value of the variance of 2.X+Y is: O 3/80 O 91/320
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question
![Let Xand Y be two continuous random variables with joint probability density
[3x
function given by: f(x.y)%D
0sysxsl
elsewhere
with E(X) = ECX)- EC) - EC*)= ;and E(XY) = 10
3
E(Y*) = - and E(XY) =;
%3D
Then the value of the variance of 2X+Y is:
O 3/80
O 91/320
43/320
7/20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe748d57-7e3e-4582-b3db-bd968e8c002e%2F917f7882-5f1e-4538-ad93-011ead64cc43%2Fagjrrt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let Xand Y be two continuous random variables with joint probability density
[3x
function given by: f(x.y)%D
0sysxsl
elsewhere
with E(X) = ECX)- EC) - EC*)= ;and E(XY) = 10
3
E(Y*) = - and E(XY) =;
%3D
Then the value of the variance of 2X+Y is:
O 3/80
O 91/320
43/320
7/20
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