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
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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?
-
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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