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. 17 1 + 0≤x,y≤ 1, f(x,y) = 6 6 elsewhere
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. 17 1 + 0≤x,y≤ 1, f(x,y) = 6 6 elsewhere
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Just need help with parts b - d
(b) It is of interest to know something about the proportion of Z=X+Y, the sum of the two proportions. Find E(X+Y). Also find E(XY).
(c) Find Var(X), Var(Y), Cov(X,Y),
(d) Find Var(X+Y).
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