Suppose x and y are independent. show that h(xiy) = h(x). [2pts] • suppose x and y are independent. show that h(x, y) = h(x) + h(y) . [2pts] • prove that the mutual information is symmetric, i. e., i(x, y) = (y, x) and x; e x, yi e y [3pts]

The los angels ram scored 26, 30, 48, and 31 pts in their last four games. how many pts do they need to score in super bowl liii in order to have an exact mean average of 35 pts over five games. write and solve and equation. use x to represent the 5th game.

How long must $542 be invested at a rate of 7% to earn $303.52 in interest? in a easier way

Aplane intersects a pris paralel to the base of the prism. the cross section is a polygon wth eight sides. how many sides does the base of the prism have? a. 10 b. 8 c. 7 d. 9