The joint density function of the random variables X and Y is given to the right.
(a) Show that X and Y are not independent.
(b) Find P(X > 0.1 | Y = 16).
(a) Select the correct choice below and fill in the answer box to complete your choice:
(i) Since f(x, y) = f(x) * f(y), X and Y are independent.
(ii) Since f(x, y) = f(x) * f(y) for 0 < x < 2 - y, X and Y are not independent.
(iii) Since f(x, y) = f(x) * f(y) for 0 < x < 2 - y, X and Y are not independent.
(iv) Since f(x, y) = f(x) * f(y) for 0 < x < 2 - y involves the variable y, X and Y are not independent.
(v) Since f(x, y) = f(x) * f(y) for 0 < y < 2 - x involves the variable x, X and Y are not independent.
(b) P(X > 0.1 | Y = 16) = (Simplify your answer. Round to six decimal places if needed).