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N,(µ, £), where µu = (2) 1 and E = 0.5 Show that 1 0.5 Q, = (X1 – X2)² and Q2 = (X1 + X,)² are independently distributed. Find Q2 the distribution of Q, Q2 and 3Q,

N,(µ, £), where µu = (2) 1 and E = 0.5 Show that 1 0.5 Q, = (X1 – X2)² and Q2 = (X1 + X,)² are independently distributed. Find Q2 the distribution of Q, Q2 and 3Q,

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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1 1. Let X - N2(u, E), where µ = 0.5 . Show that 1 and Σ 0.5 Q1 = (X1 – X,) and Q2 = (X, + X,)² are independently distributed. Find Q2 3Q1 %3D the distribution of Q, Q2 and
Transcribed Image Text:1 1. Let X - N2(u, E), where µ = 0.5 . Show that 1 and Σ 0.5 Q1 = (X1 – X,) and Q2 = (X, + X,)² are independently distributed. Find Q2 3Q1 %3D the distribution of Q, Q2 and
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