Kizspy | Question: 31
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)
The bivariate distribution f(x,y) of two discrete random variables X and
Y given by
(0.5 sin(x + y), if 0 < x, y ≤0.5π
f(x,y) =
- {0.5
otherwise.
Find the probability density function fy(y) of Y.
FJOVERFLOW.COM
(i) fy(y)=
(0.5 cos(0.5π + y) −0.5 cos y if 0 ≤ y ≤ 0.5π
otherwise
0.5 cos y - 0.5 cos(y +0.5π) if 0≤ y ≤0.5π
(ii) fy(y) =
otherwise
(iii) fy(y) =
0
cos(0.5π + y) - cosy if 0 ≤ y ≤ 0.5π
otherwise
cos y cos(y+0.5π) if 0 ≤ y ≤ 0.5π
(iv) fy(y)=
otherwise
