(d) Calculate E(X), E(X²), Var(X), E(Y), E(Y²), Var(Y), E(XY), Cov(X, Y) and p(X, Y). (e) Calculate the conditional p.d.f fxy(x|y), y = 1,2. (f) Calculate E(X|Y = y), y = 1, 2 and calculate E(E(X|Y)).
(d) Calculate E(X), E(X²), Var(X), E(Y), E(Y²), Var(Y), E(XY), Cov(X, Y) and p(X, Y). (e) Calculate the conditional p.d.f fxy(x|y), y = 1,2. (f) Calculate E(X|Y = y), y = 1, 2 and calculate E(E(X|Y)).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 14E
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Transcribed Image Text:(d) Calculate E(X), E(X²), Var(X), E(Y), E(Y²), Var(Y), E(XY), Cov(X, Y) and p(X, Y).
(e) Calculate the conditional p.d.f fx\x(x|y), y = 1,2.
(f) Calculate E(X|Y = y), y = 1, 2 and calculate E(E(X|Y)).
Transcribed Image Text:The joint p.d.f of the r.v.'s X and Y is given in the following table
y\x
1
2
0
1
2
3
1/8
1/16 3/16 1/8
1/16 1/16 1/8 1/4
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