3.4 Solve the below problem:Let Y, and Y, have a bivariate normal distribution:f(V1. Y2)exp+2(1-p2)01-00 < y1 < 00,-00 < y2 < 00,Show that the marginal distribution of Y, is normal with mean µz and variance o is givenby:1f(y2) =203,-00 < y2 < o0V2no2

Joint Probability Distribution: Let X and Y be two continuous random variables defined over the…

3.4 Solve the below problem: Let Y, and Y, have a bivariate normal distribution: expl- ) - 20 (*)() + ()| 1 Y2-H2 2-42 f(V1. Y2) = -2p 2no,021-p -00 < yı < o, -00 < y2 < o, Show that the marginal distribution of Y2 is normal with mean µ2 and variance o is given by: 1 203 ,-00 < y2 < ∞ V2no2

3.4 Solve the below problem: Let Y, and Y, have a bivariate normal distribution: expl- ) - 20 (*)() + ()| 1 Y2-H2 2-42 f(V1. Y2) = -2p 2no,021-p -00 < yı < o, -00 < y2 < o, Show that the marginal distribution of Y2 is normal with mean µ2 and variance o is given by: 1 203 ,-00 < y2 < ∞ V2no2

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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Question

3.4 Solve the below problem:
Let Y, and Y, have a bivariate normal distribution:
f(V1. Y2)
exp
+
2(1-p2)
01
-00 < y1 < 00,
-00 < y2 < 00,
Show that the marginal distribution of Y, is normal with mean µz and variance o is given
by:
1
f(y2) =
203
,-00 < y2 < o0
V2no2

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