Given the probability density function for x and y. Find the marginal density functions of X and Y. f(x, y) = ³y + 2y², 4 1< x < 3,1 < y<2 %3D 0, elsewhere 3x3 16 9x3 16 +,-6y2 – 15y , 4y2 – . | 2 3 8. 3 Reok ieu Side Viow

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Given the probability density function for x and y. Find the marginal
density functions of X and Y.
f (x,y) = {4
x³y + 2y2,
1 < x < 3,1 < y< 2
elsewhere
9x3
*
, 4y? – 15)
3x3
16
+,-6y2 – 15y
2
3
Back View
Side View
0,
314
Transcribed Image Text:Given the probability density function for x and y. Find the marginal density functions of X and Y. f (x,y) = {4 x³y + 2y2, 1 < x < 3,1 < y< 2 elsewhere 9x3 * , 4y? – 15) 3x3 16 +,-6y2 – 15y 2 3 Back View Side View 0, 314
9x3
14
3x3
, 4y2 + 15y
14
,-6y2 + 15y
3.
3
O Front View
O Love view
NOT IN THE CHOICES
(Answer is to be placed
in solution paper)
None of these (Place answer in
solution paper)
2.
8.
Transcribed Image Text:9x3 14 3x3 , 4y2 + 15y 14 ,-6y2 + 15y 3. 3 O Front View O Love view NOT IN THE CHOICES (Answer is to be placed in solution paper) None of these (Place answer in solution paper) 2. 8.
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