A penny and a nickel are tossed. Both are fair coins. Let X = 1 if the penny comes up heads, and let X = 0 otherwise. Let Y = 1 if the nickel comes up heads, and let Y = 0 otherwise. Let Z = 1 if both the penny and nickel come up heads, and let Z = 0 otherwise. Let px denote the success probability for X. Find px. %3D а. b. Let py denote the success probability for Y. Find py. Let Pz denote the success probability for Z. Find pz- C. d. Are X and Y independent? Does Pz = PxPy? е. f. Does Z = XY? Explain.