Hi, can i get help on subsections D and E found on the question below please.   Suppose that a category of world class runners are known to run a Spartathlon, a 246-kilometer (153 mi) ultramarathon race in an average of 26 hours with a standard deviation of 3 hours. Consider 36 of the races. Let X the average of the 36 races. Explain or show work for all part of the question. A. In words, X = %3D B. X ~ L ) C. Find the 1QR for the average finishing time in these 36 races. D. Find the probability that the runner will average in under 24 hours in these 36 races. E. How many races should be considered if we want the standard deviation of X to be half (1.5 hours) of the standard deviation given in the problem.

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

Hi, can i get help on subsections D and E found on the question below please.

 


Suppose that a category of world class runners are known to run a Spartathlon, a 246-kilometer (153 mi) ultramarathon race in an average of 26 hours with a standard deviation of 3 hours. Consider 36 of the races. Let X the average of the 36 races. Explain or show work for all part of the question. A. In words, X = %3D B. X ~ L ) C. Find the 1QR for the average finishing time in these 36 races. D. Find the probability that the runner will average in under 24 hours in these 36 races. E. How many races should be considered if we want the standard deviation of X to be half (1.5 hours) of the standard deviation given in the problem.

Expert Solution
trending now

Trending now

This is a popular solution!

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