Question: 36
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)
Let W = [X Y] be a 2-dimensional random variable with normal
distribution W = N(u,Σ), in which
µ = [10]=[]
Find the formula for the probability density function p(x,y) of W.
1
(x-1)2 y2
(i)
p(x,y)
=
2
4
2πγΣ
(ii) p(x,y) =
1
(x-1)2 y2
4
2
2π√2
x2 (y-1)2
2
1
(iii) p(x,y): e 4
(iv) p(x,y):
=
2π2
1
2π√2
x² (y-1)2
e 2
4
