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Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 46 / 1 / ii / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2005 iii Paper 46 1 ii
Created 2026-10-03 Updated 2026-10-14  0 By others on same topic  0 Discussions Create my own version
Taking the first marginal of the normal vector in part (i) gives
X1​−Y1​∼N(0,2(a−c)).​
(1)
Equivalently its variance is a+a−2c; the covariance between the two sons must be retained when taking their difference.

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