Please show steps and equations x1(t) -6 42 6 X2(t) 6 4-2 x(t) *x2(t) 6 42...
O. Let X1 and X2 be two random variables, and let Y = (X1 +
X2)2. Suppose that E[Y ] = 25 and that the variance of X1 and X2
are 9 and 16, respectively.
O. Let Xi and X2 be two random variables, and let Y = (X1 X2)2. Suppose that and that the variance of X1 and X2 are 9 and 16, respectively E[Y] = 25 (63) Suppose that both X\ and X2 have mean zero. Then the...
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| | xo = 0 Xi = 2 x2 = 4 f(x) = 2 f(x1) = 6 f(x2) – 10 Consider the differential equation dy – Ax+ 4 where A is a constant. dx Let y = f(x) be the particular solution to the differential equation with the initial condition f(0) = 2. Euler's method, starting at x = 0) with a step size of 2, is used to approximate f(4). Steps from this approximation are shown in the...
Solve the IVP for the given equations
Xi' =-X1 + (3/2)x2 X2' = (-1/6)x1 - 2x2 x1(2) = 1 x2(2) = 0
6. Solve the system of first order differential equations: x'(t) = X1 + X2 x2(t)x 3x2
6. Solve the system of first order differential equations: x'(t) = X1 + X2 x2(t)x 3x2
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
help, please
Question 6 [2 marks] Let X1, X2, ..., X, be a random sample from the Poisson distribution with mean e. a. Express the VAR,(Xi) as a function o2 = g(e). b. b. Find the M.L.E. of g(0) and show that it is unbiased.
Please answer all the parts neatly with all details.
3. Assume X1, X2,... are a sequence of i.i.d. random variables having finite first moment, that is, v = E(Xi oo. Let Yn = (|X1| .+ |Xn|)/n. (a) Show that Yn ->v in probability. (b) Show that E(Y,) -- v. (c) Show that E(|X, - /u|) -0 where u = E(X)
3. Assume X1, X2,... are a sequence of i.i.d. random variables having finite first moment, that is, v = E(Xi...
(1 point) xi(t) Let x(t) = be a solution to the system of differential equations: x2(t) xy(t) x'z(t) –6 x (1) 2 xi(t) x2(t) 3 x2(t) = If x(0) find x(t). 2 3 Put the eigenvalues in ascending order when you enter xi(t), x2(t) below. xi(t) = exp( t)+ expo t) x2(t) = exp( t)+ expl t)
May 21, 2019 R 3+3+5-11 points) (a) Let X1,X2, . . Xn be a random sample from G distribution. Show that T(Xi, . . . , x,)-IT-i xi is a sufficient statistic for a (Justify your work). (b) Is Uniform(0,0) a complete family? Explain why or why not (Justify your work) (c) Let X1, X2, . .., Xn denote a random sample of size n >1 from Exponential(A). Prove that (n - 1)/1X, is the MVUE of A. (Show steps.)....
Let X1, X2,..., Xn be a r.s. from f(x) = 0x0-1, for 0 < x <1,0 < a < 0o. (a) Find the MLE of 0. (b) Let T = -log X. Find the pdf of T. (c) Find the pdf of Y = DIT: (i.e., distribution of Y = - , log Xi). (d) Find E(). (e) Find E( ). (f) Show that the variance of 0 MLE → as n → 00. (g) Find the MME of 0.