The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.2 minutes. 14 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N 25 b. What is the distribution of x? - N( 25 c. What is the distribution of Σα? Σα x-N(350 8.231€) d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.618 and 25.218 minutes. 0.1084 08 e. For the 14 runners, find the probability that their average time is between 24.618 and 25.218 minutes. 0.3867 ✓ 2.2 0.5880 OB OB f. Find the probability that the randomly selected 14 person team will have a total time less than 354.2. 0.6950 OF g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 15% of all 14 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.2 minutes. 14 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N 25 b. What is the distribution of x? - N( 25 c. What is the distribution of Σα? Σα x-N(350 8.231€) d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.618 and 25.218 minutes. 0.1084 08 e. For the 14 runners, find the probability that their average time is between 24.618 and 25.218 minutes. 0.3867 ✓ 2.2 0.5880 OB OB f. Find the probability that the randomly selected 14 person team will have a total time less than 354.2. 0.6950 OF g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 15% of all 14 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Follow-up Questions
Read through expert solutions to related follow-up questions below.
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