We have the following information about the randomvariables X and Y:|x = 1, |y = −1.5 , ox = 0.25, c} = 1.oCalculate the variance of Z = 3X + 5Y,a) when the coefficient of correlation isp(X, Y) = 0.46:0²77 34.15Zb) when X and Y are independent random variables:0²2 27.75X

The provided information is as followsThe and are two random variables.The mean and the variance…

Answered: We have the following information about…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Consider an estimator of μ: W= 1/6 Y1+1/16Y2+1/4Y3+1/8Y4+1/2Y5 This is an example of a weighted average of the Yi's. Show that W is also an unbiased estimator of μ. Find the variance of W.
Assume that ξ has a rectangular distribution with the mean value E(ξ) = 0 and the variance V(ξ) = 12. Calculate P (ξ> 5).
4
14
The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−3/4. Calculate Var(X+Y) with a full explanation
Consider the following population model that satisfies the CNLRM assumptions: Y = βX; + u in particular assume that: ui ~ Ν (0,1) What is the mean and variance of B₁? Ε (βι) = 0,6%, = nΣα 22 x Στ Ο Ο Ο ΣΧ Ε (βι) = 0,6% = nΣ # Ε(β) = 1,6 = Ε(βι) = 1,6% = nΣ # (31) {" 2 Σ βι η ΣΧ Cannot be determined with the information provided.
Let X∼Uniform(0,1) distribution. Find the PDF of Y= 3√X and derive the expected value and the variance of Y.
"A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment with the drug, 20 subjects had a mean wake time of 94.6 min. After treatment the 20 subjects had a mean wake time of 71.5 minutes and a standard deviation of 26.8 minutes. Assume that the samples are from normally distributed population and are randomly selected. At the 0.05 significance level test the claim that after treatment with the drug subjects have a mean wake time of less than 94.6 minutes. Does it appear that the drug is effective?
Compute for the variance and standard deviation of the population
Suppose that contamination particle size (in microm- eters) can be modeled as f(x)=2x³ for 1 < x. Determine the mean of X. What can you conclude about the variance of X?
Answer all
Consider the one-way analysis of variance model Xij = µ + a; + Eij, i= 1,.., m, j= 1,..., ni, where ɛij ~ N(0,0²) are independent. Let n= n1 + · ·+ nm, ... ni 1 ni 1 X;. >Xii for i = 1,..., m, and X. = - ΣΣΧ. ni j=1 i=1 j=1 (a) Show that SS(TO) = SS(T) + SS(E), where SS(TO) = E E i=12j=1 (Xij – X..)², m m ni SS(T) Σι (X.-Χ.) and SS(E) -ΣΣ (Χ- X.) . i=1 i=1 j=1

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

We have the following information about the random variables X and Y: 2 μχ = 1, μy = -1.5, o = 0.25, o = 1. X Calculate the variance of Z = 3X + 5Y, a) when the coefficient of correlation is p(X,Y)= 0.46: 0²/2 34.15 = b) when X and Y are independent random variables: 0²/12 27.75 Z X