2. Let Z₁, Z₂ be a random sample from a standard normal distribution, and X₁, X₂ a random sample froma Normal (1,1) distribution. Answer the following questionsa. What is the distribution of X + Z?b. What is the distribution of [(x₁-x₂)²+(Z₁-Z₂)²+(Z₁ +Z₂)²] ?22

Answered: Image /qna-images/answer/22d7ec91-35d2-41b3-a03e-2108a88f1443.jpg

Answered: 2. Let Z₁, Z₂ be a random sample from a…

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

a) Find such that P( X < ? ) = 0.9332, where X is a normal random variable with mean = 10 and standard deviation = 2.5. b) Find such that P( X > ?) = 0.1230, where X is a normal random variable with mean = 10 and standard deviation = 2.5.
2. In a standard normal curve, find... a) P(Zs 2.80) = p (2.80) b) between z=-1.28 and z=-0.663B c) to the left of z=1.50;
8,10
Consider a normal distribution curve where 70-th percentile is at 11 and the 30-th percentile is at 2. Use this information to find the mean, u , and the standard deviation, o , of the distribution. a) u = b) σ-
3. For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. n= 65 and p = 0.7 a. Normal approximation is not suitable. b. Normal approximation is suitable.
3. If Z is a random variable having the standard normal distribution, find i. P(Z - 1.08) iii. P(-1.90
5. Let (Xi, Yi), i 1, 2, ,n, be a random sample from a bivariate normal distribution. Find the joint distribution of (X,Y).
16. Find the m.g.f of standard normal variate.
Answer only 4-10 and sketch the normal curve.
Consider a normal distribution curve where 55-th percentile is at 11 and the 20-th percentile is at 8. Use this information to find the mean, u , and the standard deviation, o , of the distribution. a ) μ - b) σ-
In the distribution with u = 35 and o = 6, a score of X = 50 correspond to z =
4. The grades in an exam have a normal distribution with u=75 averages and o=8 standard deviation. The teacher gives AA to those who score 90 and above. Since 12 students got AA, what is the approximate number of students taking the exam?

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

2. Let Z₁, Z₂ be a random sample from a standard normal distribution, and X₁, X₂ a random sample from a Normal (1,1) distribution. Answer the following questions a. What is the distribution of X + Z? : [(X₁−X₂)²+(Z₁¬Z₂)²+(Z₁ + Z₂)²]? 2 b. What is the distribution of 2