Letfo(X) = {(1/7)0X₁, X₂,..., Xn be i.i.d. samples with pdf0 < X < 0,0 > 0,Otherwise.Assume:1 Estimator 1 is Ô = 2 X.2 Estimator 2 is Ô = X(n).Answer the following questions:Q1 Are these estimators unbiased?Q2 Are these estimators consistent?

Answered: Image /qna-images/answer/18cd0158-b974-4105-bd8d-dd8fbb325439.jpg

Answered: Let X₁, X₂,..., Xn be i.i.d. samples…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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answer item 4 only
Q1. Let X; and S be the mean and variance of independent random samples of size ni from populations with mean H; and variance of (i = 1,2), respectively where u, = 20. of = 9, n1 = 36 and u2 = 18, ož = 16, n2 = 49. Find (- a) P(X, > 20.98) b) x such that P(X, 12.8062) d) si such that P(S} > s3) = 0.80 e) P(X1 – X2 > 0.2336) n P(SE/S글 > 0.8368) %3D
What is indicated by a Pearson correlation of r= +1.00 between X and Y? O Every increase in X causes an increase in Y Every change in X causes a change in Y O Each time X increases, there is a perfectly predictable increase in Y All of the other 3 choices occur with a correlation of +1.00.
Standardising the variables before performing canonical correlation analysis affects which of the following? A. the coefficients to construct the variates (i.e., the a in Z₁ = a¹ X(1) and similarly for X (2)) B. the canonical correlations C. the conclusions of the tests for the significance of the canonical correlations More marks will be given the closer you are to the correct answer. Select one: O None O A only O B only O C only O A and B only O A and C only OB and C only O A, B, and C True or False? Unlike ordinary correlation, canonical correlation can detect and represent nonlinear relationships between variables. Select one: O True O False
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6. Show that 1 s2 E1(Xi – x)² is unbiased estimator of the population variance o? i=1 п-1
The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 Choose answer from the following: a. 0.855 b.0.174
Please solve this question.Thanks for your help :)
I've got 2 questions, hope that's okay they're only short ones 1. when mining copper, the amount retreived per m3 is normally C = 460±140 kg (mean ± std. dev.). when mining nickel, the amount retreived per m3 is normally N = 180±30 kg. If amounts of copper and nickel per m3 are positively correlated, witha correlation of Cor(C, N) = 0.4. Calculate mean and std. dev. of total materials (C + N) retreived per m3. 2. a production company manufactures resistors, 5 resistors are thrown away per hour on average. determine probability that atleast 25 resistors would be thrown away in any 4 hour time window.
Suppose that x and y are unknowns with ?(?)=E(X)= 11, var(?)=Var(X)=4, ?(?)=E(Y)= 7 and var(?)=Var(Y)= 100. In addition, suppose that the correlation coefficient of ?Xwith ?Yis .6. Then what is the expected value of xy?
The following results were obtained in a study of correlation coefficient between two variables X and Y : n=50, x =10, o,=3; y O, = 2; r. = 0.3. xy || However, on subsequent verification it was found that one value of X = 10 and one value of Y = 6 were inaccurate and hence weedėd out. With the remaining values how is the original value of correlation coefficient affected.
4.38

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Let X₁, X₂,..., Xn be i.i.d. samples with pdf (G) 0 > 0, 0 fe (X) = 0 < X < 0, Otherwise. Assume: 1 Estimator 1 is ê= 2 X. 2 Estimator 2 is Ô = X(n). Answer the following questions: Q1 Are these estimators unbiased? Q2 Are these estimators consistent?