Q6 - , x 2 ). Extend this result to nd the variance of x 1...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
EXERCISES IN STATISTICS Series A, No. 6 1. Let x 1 and x 2 have the joint p.d.f f ( x 1 , x 2 ) = x 1 + x 2 with 0 x 1 , x 2 1. Find the conditional mean of x 2 given x 1 . 2. Find the P ( x < y | x < 2 y ) when f ( x, y ) = e ( x + y ) . Draw a diagram to represent the event. 3. The variance of x 1 + x 2 is V ( x 1 ) + V ( x 2 ) + 2 C ( x 1
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: , x 2 ). Extend this result to nd the variance of x 1 + x 2 + x 3 . 4. Find V ( x 1 x 2 ). Prove that C ( x 1 , x 2 ) p V ( x 1 ) V ( x 2 ) 1 2 V ( x 1 ) + V ( x 2 ) ....
View Full Document

Ask a homework question - tutors are online