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QUESTION

For n \ge 2, let \vec{X} have n-dimensional normal distribution MN( \vec{\mu} , \mathbf{V} ). For any 1 \le m n , let \vec{X} 1 denote the vector...

For n 2, let ​ have n-dimensional normal distribution MN( ​ ,  ). For any 1  m < n , let ​1 denote the vector consisting of the last n-m coordinates of ​.

a) Find the mean vector and the variance-covariance matrix of ​1.

b) Show that ​1 is a (n-m) dimensional normal random vector.

Could you please solve and provide detailed explanations on how to solve this? Thank you!

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