Let Z1, Z2 be a random sample of size 2 from N(0, 1), and X1, X2 a random sample of size 2 from N(1, 1). Suppose the Z;'s are independent of the X;'s. Q4.1 What is the distribution of X + Z? Q4.2 What is the distribution of (Z1 + Z2)/ V[(X2 – X1)² + (Z2 – Z1)²1/2? Q4.3 What is the distribution of [(X1 – X2)? + (Z1 – Z2)? + (Z1 + Z2)²]/2? -
Let Z1, Z2 be a random sample of size 2 from N(0, 1), and X1, X2 a random sample of size 2 from N(1, 1). Suppose the Z;'s are independent of the X;'s. Q4.1 What is the distribution of X + Z? Q4.2 What is the distribution of (Z1 + Z2)/ V[(X2 – X1)² + (Z2 – Z1)²1/2? Q4.3 What is the distribution of [(X1 – X2)? + (Z1 – Z2)? + (Z1 + Z2)²]/2? -
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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can i get help with 4.3 and 4.4
![Let Z1, Z2 be a random sample of size 2 from N(0,1), and X1, X2 a random sample of size 2
from N(1, 1). Suppose the Z;'s are independent of the X;'s.
Q4.1
What is the distribution of X + Z?
Q4.2
What is the distribution of
(Z1 + Z2)/ V[(X2 – X1)² + (Z2 – Z1)²]/2?
Q4.3
What is the distribution of
[(X1 – X2)2 + (Z1 – Z2)² + (Z1 + Z2)²]/2?
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc58b2eee-5b79-4c9d-923b-d4e913d44dbe%2F9401f27f-166b-49b3-af8f-f44cfdfa807d%2Ffx2k70t_processed.png&w=3840&q=75)
Transcribed Image Text:Let Z1, Z2 be a random sample of size 2 from N(0,1), and X1, X2 a random sample of size 2
from N(1, 1). Suppose the Z;'s are independent of the X;'s.
Q4.1
What is the distribution of X + Z?
Q4.2
What is the distribution of
(Z1 + Z2)/ V[(X2 – X1)² + (Z2 – Z1)²]/2?
Q4.3
What is the distribution of
[(X1 – X2)2 + (Z1 – Z2)² + (Z1 + Z2)²]/2?
-
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