2. Consider a Uniform Distribution U(10, 110) D. A classmate of yours claims that those answers should be the same since if [25 < x < 85] then [x < 85} so the condition on the conditional probability is satisfied. Explain why are those answers different and the faulty logic the classmate used. (And yes I've heard this argument before) E. Find the Mean and Standard Deviation of this distribution (round to the nearest thousandth) F. Find all values within 2 Standard Deviations of this Distribution from the Expected Value. Does this Distribution have any predicted outliers from this

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
2. Consider a Uniform Distribution U(10, 110)
D. A classmate of yours claims that those answers should be the same since if (25
< x < 85] then [x < 85} so the condition on the conditional probability is
satisfied. Explain why are those answers different and the faulty logic the
classmate used. (And yes I've heard this argument before)
E. Find the Mean and Standard Deviation of this distribution (round to the
nearest thousandth)
F. Find all values within 2 Standard Deviations of this Distribution from the
Expected Value. Does this Distribution have any predicted outliers from this
method?
Transcribed Image Text:2. Consider a Uniform Distribution U(10, 110) D. A classmate of yours claims that those answers should be the same since if (25 < x < 85] then [x < 85} so the condition on the conditional probability is satisfied. Explain why are those answers different and the faulty logic the classmate used. (And yes I've heard this argument before) E. Find the Mean and Standard Deviation of this distribution (round to the nearest thousandth) F. Find all values within 2 Standard Deviations of this Distribution from the Expected Value. Does this Distribution have any predicted outliers from this method?
Expert Solution
Step 1

Let us define a random variable X ~ U10,110

In the previous parts we were asked to find P25<x<85 and Px>25|x<85

The classmate claims that since if (25<x<85), then the condition (x<85) is satisfied.

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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