3.5.17. Suppose X is distributed N3(0, E), where 3 2 1 2 1 1 3 Σ= Find P((X₁ - 2X2 + X3)² > 15.36). 2 21
3.5.17. Suppose X is distributed N3(0, E), where 3 2 1 2 1 1 3 Σ= Find P((X₁ - 2X2 + X3)² > 15.36). 2 21
A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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please answer 3.5.17
![**3.5.17.** Suppose \( \mathbf{X} \) is distributed as \( N_3(0, \Sigma) \), where
\[
\Sigma = \begin{bmatrix}
3 & 2 & 1 \\
2 & 2 & 1 \\
1 & 1 & 3
\end{bmatrix}
\]
Find \( P((X_1 - 2X_2 + X_3)^2 > 15.36) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb70c31d0-a193-4818-ba66-0bf5fd1f90e3%2F0b5aa426-fc0f-45be-b3e9-c976ce82dc5b%2F5gpkcqcr_processed.png&w=3840&q=75)
Transcribed Image Text:**3.5.17.** Suppose \( \mathbf{X} \) is distributed as \( N_3(0, \Sigma) \), where
\[
\Sigma = \begin{bmatrix}
3 & 2 & 1 \\
2 & 2 & 1 \\
1 & 1 & 3
\end{bmatrix}
\]
Find \( P((X_1 - 2X_2 + X_3)^2 > 15.36) \).
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