Problem #1 (16%) Do the following for the circuit below: a) Compute Vc (0). (2%) b) Compute dVc/dt(0). (2%) c) Compute Vc (oo). (2%) d) Compute a. (2%) e) Compute .. (2%) 4 u(t) 1 1Q Vc Show all of your work. No calculators or notes allowed! 1. Suppose X and Y have joint distribution Y=-2 Y=0 Y=2| Y=4 X=-4 0.1 0.02 0.05 0.01 X-1 0.15 0.07 0.12 0.01 X=3 0.06 0.18 0.02 0.01 X=5 0.11 0.03 q 0.01 (a) Compute q. (b) Compute E(X). (c) Compute E(Y). (d) Compute var(X). (e) Compute var(Y).