please help me! Thanks in advance
3)
Now,
Also,
Hence Proved.
Problem 3: Show U = Y-EIYIX) satisfies ElUX] = 0 and ElU2IX) = Var(Y|X)
please help me! Thanks in advance Problem 3: Show U = Y-EIYIX) satisfies ElUX] = 0 and ElU2IX) = Var(Y|X)
Can someone help me with this problem please? 1.4 Let u(x, y) = h(Vx2 + y2) be a solution of the minimal surface equation. (a) Show that h(r) satisfies the ODE rh" +h'(1 + (h')2) = 0. (b) What is the general solution to the equation of part (a)?
Given Var(X) = 4, Var(Y) = 1, and Var(X+2Y) = 10, What is Var(2X-Y-3)? I know the answer is 15, I'm particularly interested in the specific steps involved with finding the cov(X,Y) in this problem. Please explain in detail, step by step how you come to cov(X,Y) = 0.5 in this equation. Please include any formulas you would need to use to find the cov(X,Y) in this equation.
Problem 4 Suppose X ~N(0, 1) (1) Explain the density of X in terms of diffusion process. (2) Calculate E(X), E(X2), and Var(X). (3) Let Y = μ +ơX. Calculate E(Y) and Var(Y). Find the density of Y. Problem 4 Suppose X ~N(0, 1) (1) Explain the density of X in terms of diffusion process. (2) Calculate E(X), E(X2), and Var(X). (3) Let Y = μ +ơX. Calculate E(Y) and Var(Y). Find the density of Y.
Consider the multiple regression model y = X3 + €, with E(€)=0 and var(€)=oʻI. Problem 1 Gauss-Mrkov theorem (revisited). We already know that E = B and var() = '(X'X)". Consider now another unbiased estimator of 3, say b = AY. Since we are assuming that b is unbiased we reach the conclusion that AX = I (why?). The Gauss-Markov theorem claims that var(b) - var() is positive semi-definite which asks that we investigate q' var(b) - var() q. Show...
6] Find the solution u(x, y) of the following boundary value problem. u(x,0) = i, u(x, 2) = 0, a(0, y) = 0, u(3, y) = 3, 0 < x < 3 0 < y < 2. 6] Find the solution u(x, y) of the following boundary value problem. u(x,0) = i, u(x, 2) = 0, a(0, y) = 0, u(3, y) = 3, 0
Please show all work Show that F= + X0, +99, + (x+y). (where Problem 1. V -0) satisfies the equation v'(V°F) - 0 videnotes the operator ax ay? Problem 2. Given: Eu - (1-0) ReZ-(1 +vby Im Z Ev - 2 Im Z - (1 +) y Re Z Show that these expressions for the displacements, u and y, are consistent with Hooke's law equations. (Plane stress): Ex -0,-voy E, -, -vo E_Y = ? 2(1+0) Problem 3. For a...
tion? (2) Calculate E(X), E(X2), and Var(X). (3) Calculate F(a) P(X s a) for a (0, 1]. (4) Let Y =-log X. Calculate F(y)-P(Y v) for u 20. Calculate the density of Y. tion? (2) Calculate E(X), E(X2), and Var(X). (3) Calculate F(a) P(X s a) for a (0, 1]. (4) Let Y =-log X. Calculate F(y)-P(Y v) for u 20. Calculate the density of Y.
Given: phi(x,y) satisfies Laplace’s Equation, show that Psi(x,y)=(x^2+y^2)*phi(x,y) satisfies the biharmonic equation. x,y) Setisfics satisfies the biharmonic e
7. Consider the boundary value problem for the Laplace equation on the strip u(0, y) u(n,y)=0, = a. Explain why it makes sense to look for a solution of the form b. Find all solutions of the form u(x,y) = Σ Yn (y) sin nx satisfying c. Among the solutions you found in part (b) find the unique solution u (x, y) = Σ Y, (y) sin na. the Laplace equation and the boundary conditions. (i.e. find Yn (y).) that...