k. Let X₁, X₂, X₂, Xy ~ N(0₁8) 2 Xs ~ N (114) we is X4 independent from X₁, X₁, X3 & X4, Find the distribution of each of the following 4 (X=-1) ² X₁²+ X₂² O X4-X3 8 2 2 2 @ X ₁² + x ² + x ² + x ₂² 8 √a (X4-X3) 2 √√X²³² +²₂² +X ²² +₂² Ⓒ 4) (3 2X₁² + 2X₂² X₁²+ X² +X+X²

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 43CR
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r.s.
ork. Let X₁, X₂, X3, X4 ~ N (0,8) & X5 ~ N(1,4) w/ is
independent from X₁, X₂, X3 & X4,
Find the distribution of each of the following
2
4(x₂-1)²
X₁²³+ X₂²
O X4-X3
8
2
2
@ X ² + x ² + x ² + x +²
(2)
8
(3)
√₂ (X4~X3)
√√x₁²³²+x² + x³ + x²³²
2
4
2
3
© 2X₁² + 2X₂²
X₁² + X² ² + X ² + X ²
2
Transcribed Image Text:r.s. ork. Let X₁, X₂, X3, X4 ~ N (0,8) & X5 ~ N(1,4) w/ is independent from X₁, X₂, X3 & X4, Find the distribution of each of the following 2 4(x₂-1)² X₁²³+ X₂² O X4-X3 8 2 2 @ X ² + x ² + x ² + x +² (2) 8 (3) √₂ (X4~X3) √√x₁²³²+x² + x³ + x²³² 2 4 2 3 © 2X₁² + 2X₂² X₁² + X² ² + X ² + X ² 2
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