question archive Let X = [X1] ~ MN ( [3] ,[4 2])
Subject:MathPrice: Bought3
Let X = [X1] ~ MN ( [3] ,[4 2]).
[X2] [4] [2 4]
a) Are X1 and X2 independent. Give a reason for your answer
b) Find the distribution of (X1+X2)/2
c) Let Y1 = X1 + X2 − 1 and let Y2 = 3X1 − 3X2 + 2. Show that Y1 ⊥ Y2