Suppose that the joint distribution of X and Y is uniform over a set A in the

Question:

Suppose that the joint of X and Y is uniform over a set A in the xy-plane. For which of the following sets A are X and Y independent?
a. A circle with a radius of 1 and with its center at the origin
b. A circle with a radius of 1 and with its center at the point (3, 5)
c. A square with vertices at the four points (1, 1), (1, −1), (−1, −1), and (−1, 1)
d. A rectangle with vertices at the four points (0, 0), (0, 3), (1, 3), and (1, 0)
e. A square with vertices at the four points (0, 0), (1, 1), (0, 2), and (−1, 1)
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...