Use TLM method to prove Distributionstion:7Random variables X1, X2,..., X100 are all independent and all have the normal distributionwith mean 0 and standard deviation 1. Write down functions of the Xs which have thedistributions below, justifying the results you use....(a) N (0,4)(b) x10(c) 150(d) F 48,50

Answered: Distributionstion:7 Random variables…

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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Let X1 be the sample ncan of a random sanple of size n from a Norimal(µ, of) population and X2 be the sample mean of a random sample of the same size n from a Normal(4, o,) population and the two samples are independent. Note that the two samples have the same population mcan ji but oio. TL Let ji = wX1 +(1 – w)X2,0
1) Come up with a 2 x 2 contingency table for which p^1=p^2, and for which the row and column totals are notthe same. Now calculate χ2*. Are you surprised? Why or why not?
Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
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Let {Xi}ni be IID from Bernoulli(p). Find the method of moments estimator of p and use simulations to check whether your estimator is biased or not
In rolling a fair die once, what is theprobability of rolling a 2 or an oddnumber? show solution
If X-N (\mu, \sigma 2), P (9.6 = 9.6) = 0.8159, find \mu, \sigma 2 and P ({ X >= 13.8|X >= 9.6}) (use \Phi (0.9) = 0.8159 and \Phi (1.2) = 0.8849).
Pls help
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Distributionstion:7 Random variables X1, X2,..., X100 are all independent and all have the normal distribution with mean 0 and standard deviation 1. Write down functions of the Xs which have the distributions below, justifying the results you use.... (a) N (0,4) (b) xio (c) 150 (d) F 48,50