(b) Find the sircular convolution on xi(n) and x2(n). Show the steps. xi(n)- 4 9 16 x2(n)- (12 -6 4 -3) (n-0, 1,2,3) xiun) x2(-n reverse/rotate clockwise 14 916 9 16 14916 (reverse order) rotate...
Find the linear convolution of x1[n] and x2[n] by tabular method. x1[n] = {-4 5 1 -2 -3 0 2}, -3 ≤ n ≤ 3 x2[n] = {6 -3 -1 0 8 7 -2}, -1 ≤ n ≤ 5
Let Xi , X2,. … X, denote a random sample of size n > 1 from a distribution with pdf f(x:0)--x'e®, x > 0 and θ > 0. a. Find the MLE for 0 b. Is the MLE unbiased? Show your steps. c. Find a complete sufficient statistic for 0. d. Find the UMVUE for θ. Make sure you indicate how you know it is the UMVUE.
Let Xi , X2,. … X, denote a random sample of size n...
Please show steps and equations
x1(t) -6 42 6 X2(t) 6 4-2 x(t) *x2(t) 6 42 6 Let ylt) -xi(t) xlt) a) What is the value of y(-4)? b) What is the value of y(0)? c) What is the value of y(-3)? d) What is the value of y(2)?
3. Suppose Xi, X2, and X are independent random variables drawn from a binomial distribution with parameters p and n. The observed values are Xi -3, X2-4, and (a) Suppose n 12 and p is unknown. What is the maximum likelihood estimator (b) Suppose p - 0.4 and n is unknown. What is the maximum likelihood estimator for p? for n? (Note: Since n is discrete you can't use calculus for this; just write the formula and use trial and...
b) Find x(t)= x1(t) * x2(t) using the convolution integral. Write the result by region Show all regions and plots in your calculations. eros 3 x Answer: x(t)= bnien l vo s 1Swans ls AVSV meldoy C) Repeat part b) using Laplace. Write the result in terms of delayed unit steps and verify that it is an equivalent result pnwlle Answer: x(t)= ) 3et-1)u(t) 6(t-2) = c) 3e--1u(t)o()= d) 3e--1)u(t)-8(1) = Hint: Is not the same multiplication by a delayed...
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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...
3, Let X, X2,X, be independent random variables such that Xi~N(?) a. Find the distribution of Y= a1X1+azX2+ i.(Hint: The MGF of Xi is Mx, (t) et+(1/2)t) + anXn +b where a, 0 for at least one b. Assume = 2 =n= u and of- a= (X-)/(0/n) ? Explain. a. What is the distribution of The Sqve o tubat num c. What is the distribution of [(X-4)/(0/Vm? Explain.
be clear and show all the steps pls thanks
6. Find the solutions of the following initial-value problems: хр (e) (1)=2 xp = 2(x2 + 12 ) , x(2) = -1 (b) xi xp = te + x. x(2) = 4 (c) t хр = 1e +x2 x(1) = 2 x (p) хр x 2xt, x(1) = 4 (e) t
6. Find the solutions of the following initial-value problems: хр (e) (1)=2 xp = 2(x2 + 12 ) , x(2)...
The differential equation X2," +xy, + ( X2-1 / 16 )y = 0 is Select the correct answer. a. Bessel's equation of order 1/4 b. Legendre's equation of order 1/16 c. Bessel's equation of order n d. Bessel's equation of order 1/16 e. Legendre's equation of order 1/4
The differential equation X2," +xy, + ( X2-1 / 16 )y = 0 is Select the correct answer. a. Bessel's equation of order 1/4 b. Legendre's equation of order 1/16 c. Bessel's...
Consider the matrix: 15 9 13 2 6 10 14 3 7 11 15 4 8 12 16 a- Find the eigenvectors of this matrix and their corresponding eigenvalues. b-Indicate if there are any degeneracy, and if so, change only one element of this matrix to remove this degeneracy (of course you need to recompute the eigenvalues to show that the degeneracy was lifted). Write a Mathematica program to calculate the roots of the following function f(x) = 0.5*e*-5*x+2 using...