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4. If X~ N3 (μ, E) where µ¹ = [2-3 1] and Σ = 1 3 2 | 1 2 2 then find the distribution of 3X1-2X2 + X3, where a= [3-21].

4. If X~ N3 (μ, E) where µ¹ = [2-3 1] and Σ = 1 3 2 | 1 2 2 then find the distribution of 3X1-2X2 + X3, where a= [3-21].

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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4. If XN3 (μ, 2) where uT=[2-3 1] and E= 1 3 2 1 2 21 then find the distribution of 3X₁ - 2X2 + X3, where a= [3 -2 1].
Transcribed Image Text:4. If XN3 (μ, 2) where uT=[2-3 1] and E= 1 3 2 1 2 21 then find the distribution of 3X₁ - 2X2 + X3, where a= [3 -2 1].
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