Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose X t(4), Y~ t(200), and Z~ N(0, 1). Answer the following questions. Attach R code if used. (a) Compute P(X > 2), P(Y > 2), and P(Z > 2). (b) Compare and contrast the probabilities you got in part (a). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (c) Compute P(-0.5 < X < 0.5), P(-0.5

Suppose X t(4), Y~ t(200), and Z~ N(0, 1). Answer the following questions. Attach R code if used. (a) Compute P(X > 2), P(Y > 2), and P(Z > 2). (b) Compare and contrast the probabilities you got in part (a). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (c) Compute P(-0.5 < X < 0.5), P(-0.5

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
Suppose X t(4), Y t(200), and Z~ N(0, 1). Answer the following questions. Attach R code if used. (a) Compute P(X > 2), P(Y > 2), and P(Z > 2). (b) Compare and contrast the probabilities you got in part (a). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (c) Compute P(-0.5 < X < 0.5), P(-0.5<Y <0.5), and P(-0.5 < Z < 0.5). (c) Compare and contrast the probabilities you got in part (c). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (e) Based on your answers in the previous parts, complete the following sentence. "Compared with the standard normal distribution and the t-distribution with a large degrees of freedom, the t-distribution with a small degrees of freedom has cails and center."
Transcribed Image Text:Suppose X t(4), Y t(200), and Z~ N(0, 1). Answer the following questions. Attach R code if used. (a) Compute P(X > 2), P(Y > 2), and P(Z > 2). (b) Compare and contrast the probabilities you got in part (a). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (c) Compute P(-0.5 < X < 0.5), P(-0.5<Y <0.5), and P(-0.5 < Z < 0.5). (c) Compare and contrast the probabilities you got in part (c). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (e) Based on your answers in the previous parts, complete the following sentence. "Compared with the standard normal distribution and the t-distribution with a large degrees of freedom, the t-distribution with a small degrees of freedom has cails and center."
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
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