Assuming that X is N(3, 4), Y is N(-1, 2) and X and Y are independent. Determine the covariance of two random variables Z-X-Y and W-2X+3Y? O 1.5 O 2

EE2440 HW02 5. Minimize each of the following function using a K-map. (a) F(A,B,C) I1(2, 3, 7) (b) F(A,B,C,D)=E(0,4,6,7,12,13,14,15) (c) F(A, B,C,D) = E(1,2,3,5,8,9,10,11)

Using the discrete-time signals y₁ [n] and y₂[n] where: y1 [n] [-1 0 1 3 - 1 3 -1] and y2[n] = [-2 -1 0 - 3 2 1] Represent each of the following signals by a graph and by a sequence of numbers. a. x1[n] = [y2[n] - y1[n] b. x2[n] = y1[n] * y2[n], c. x3[n] = y2[1 - n] d. x4[n] = y1[n - 3]

A noisy resistor presents a voltage X distributed as a Gaussian random variable with zero mean and unit variance. The voltage X is linearly transformed through the relation Y=2X+4 to obtain the new voltage Y. What is the probability P[Y>4]?