a. Show =
b. Show E{(X-EX)(Y-EY)}=E{(X-EX)Y}
Assume X, Y are independent with EX = 1 EY = 2 Var(X) = 22 Var(Y) = 32 Let U = 2X + Y and V = 2X – Y. (a) Find E(U) and E(V). (b) Find Var(U) and Var(V). (c) Find Cov(U,V).
Suppose that EX-EY-0, var(X) = var(Y) = 1, and corr(X,Y) = 0.5. (i) Compute E3X -2Y]; and (ii) var(3X - 2Y) (ii) Compute E[X2]
7. Show that E(X-EX]) (Y-E[Y)] = E[XY]-EXEY]
Solve both parts of question 2
1. Find Ex and Ey, the energies of the signals x(t) and y(t) for the given figure below. Sketch the signals x(t)+y(t) and x(t)-y(t). Show that the energies of either of these two signals is equal to Ex + Ey. (20 points) Vt) 2. Find the energies of the signals x(t) and y(t) for the given figure. Sketch the signals
Determine the expressions for the x-, y-, and
z-components of the electric field (Ex,
Ey, Ez) for this wave as a
function of space and time.
Part g, please! Thanks!
The magnetic field of a linearly polarized electromagnetic plane wave is described by B.-(50 T) sin(kz-(3.4x1015 rad)); By-0; B.-0. 2 Consider the wave at time t = 0 and position (x, y, z) = (0, 0, ?/2k). Let the +x-direction point to the right, the +y-direction point up the page,...
Solution and work
(35 p) Evaluate the line integralſ, ex cos y dx + (ey – ex sin y) dy where C is the semicircle given by the following parametric representation: x – 1 = cost, y - 1 = sint, 0 <t <n.
Make x the subject of y -In (3 + e*) x=(y-In 3)/ 2 X(ey 3)/2 x-y/ (2 In 3) x [In (3 - ey)]/ 2 x=ln (Vey-3) which of the following could represent a function, 1f (x,y), with first-order partial derivatives af/ax Xy (x'y +3) x'y 3x-y-6 x (xy + 3) on se the reduced form of a macroeconomic model is Y- (b +I* + G* - aT*)/ (1- a - at) where t is the marginal rate of taxation....
Problem 1: Show E[Y-G(X)|2] is minimized using G(X) = EX ing G(X) EYAX
Problem 1: Show E[Y-G(X)|2] is minimized using G(X) = EX ing G(X) EYAX
Let XN(0, 1) and Y eX. (X) (a) Find E[Y] and V(Y). (b) Compute the approximate values of E[Y] and V(Y) using E(X)(u)+"()VX) and V((X))b(u)2V(X). Do you expect good approximations? Justify your an- Swer
Let XN(0, 1) and Y eX. (X) (a) Find E[Y] and V(Y). (b) Compute the approximate values of E[Y] and V(Y) using E(X)(u)+"()VX) and V((X))b(u)2V(X). Do you expect good approximations? Justify your an- Swer
Show that: Ez = ,(€r – Ey) 0x = Entretien Oy = E( using the General Hooke's Law equations, € =-v.- v. &z=-v. v. if Ex, Ey, and v are known values and 0, = 0