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Suppose that X,~ N(u, oʻ), i = 1,..., n are independent. State the distribution of each of the following variables if it is a "named distribution or otherwise state "unknown." n and Z, N(0, 1), 1= 1, ..., k, and all variables (a) X,- X2 (i) 22 IN N

Suppose that X,~ N(u, oʻ), i = 1,..., n are independent. State the distribution of each of the following variables if it is a "named distribution or otherwise state "unknown." n and Z, N(0, 1), 1= 1, ..., k, and all variables (a) X,- X2 (i) 22 IN N

MATLAB: An Introduction with Applications
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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lity and Mathematical Statistics _2000_ _1_.pdf 297 /658 183% 15. Suppose that X, N(u, o), i= 1,..., n and Z, N(0, 1), 1 = 1, ..., k, and all variables are independent. State the distribution of each of the following variables if it is a "named" distribution or otherwise state "unknown." (a) X,- X, (i) (b) X, + 2X, () X, - X, (c) (k) (d) Zł Vnk(X – 4) (1) i= 1 (e) oS, +[(Z, - Z) (m) i= 1 () Z + Z} (n) k (g) Z - Z (0) kZ? (k – 1) (X, – X)* (p) (n-1o(Z, - 2)" z, (h) NIN NIN IN
Transcribed Image Text:lity and Mathematical Statistics _2000_ _1_.pdf 297 /658 183% 15. Suppose that X, N(u, o), i= 1,..., n and Z, N(0, 1), 1 = 1, ..., k, and all variables are independent. State the distribution of each of the following variables if it is a "named" distribution or otherwise state "unknown." (a) X,- X, (i) (b) X, + 2X, () X, - X, (c) (k) (d) Zł Vnk(X – 4) (1) i= 1 (e) oS, +[(Z, - Z) (m) i= 1 () Z + Z} (n) k (g) Z - Z (0) kZ? (k – 1) (X, – X)* (p) (n-1o(Z, - 2)" z, (h) NIN NIN IN
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