Answer (Choose 1 answer)
(See picture)
A. (iii)
B. (ii)
C. (i)
D. (iv)
the exam.
Consider the following bivariate distribution f(x, y) of two random variables X and Y
f(x, y) = 1.5x +0.5y if 0 ≤ x, y ≤ 1 otherwise
Find the probability density function f(x) of X.
(i) f(x) = 2x 10 if 0 ≤ x ≤ 1 otherwise
(ii)
f(x)
0.5x+0.75 if 0 < x < 1 { 0 otherwise
(ii) f(x) = x+0.5 if 0 ≤ x ≤ 1 0 otherwise
(iv) f(x) = { 1.5x+0.25 if 0 < x < 1 0 otherwise
