rts (a) through (d) belo 2+2 1².1 0sx elsev X), Var(Y), and Cov(X) r answers.) 7 r answer.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A service facility operates with two service lines. The random variables X and Y are the proportions of the time that line 1 and line 2 are in use, respectively. The joint probability density function for (X,Y) is given below.
Complete parts (a) through (d) below.
f(x,y) =
2x² + 3y², 0≤x.y≤1,
22
0.
elsewhere
(c) Find Var(X), Var(Y), and Cov(X,Y).
Var(X) =
Var(Y) =
(Simplify your answers.)
Cov(X,Y)=
(Simplify your answer.)
(d) Find Var(X+Y).
Var(X+Y)=
(Simplify your answer.)
C
Transcribed Image Text:A service facility operates with two service lines. The random variables X and Y are the proportions of the time that line 1 and line 2 are in use, respectively. The joint probability density function for (X,Y) is given below. Complete parts (a) through (d) below. f(x,y) = 2x² + 3y², 0≤x.y≤1, 22 0. elsewhere (c) Find Var(X), Var(Y), and Cov(X,Y). Var(X) = Var(Y) = (Simplify your answers.) Cov(X,Y)= (Simplify your answer.) (d) Find Var(X+Y). Var(X+Y)= (Simplify your answer.) C
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