Let (X,Y) ~ Dirichlet(1,1, 1). That is, the joint density of X, Y is S2 if 0 < x < 1, 0 < y < 1, 0 < x + y < 1, f (1, y) = { ? otherwise. • (i) Compute E (1//X +Y). (ii) Compute E(X(Y +1)).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let (X, Y) ~ Dirichlet(1,1, 1). That is, the joint density of X, Y is
f (x, y) = {
if 0 < x < 1, 0 < y < 1, 0 < x+ y < 1,
0 otherwise.
•
(i) Compute E (1/VX +Y).
• (ii) Compute E(X(Y+1)).
Transcribed Image Text:Let (X, Y) ~ Dirichlet(1,1, 1). That is, the joint density of X, Y is f (x, y) = { if 0 < x < 1, 0 < y < 1, 0 < x+ y < 1, 0 otherwise. • (i) Compute E (1/VX +Y). • (ii) Compute E(X(Y+1)).
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