Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 143 minutes with a standarddeviation of 13 minutes. Consider 49 of the races.Let x= the average of the 49 races.O Part (a)Give the distribution of X. (Round your standard deviation to two decimal places.)x -O(0:0)O Part (b)Find the probability that the average of the sample will be between 141 and 144 minutes in these 49 marathons. (Round your answer to four decimalplaces.)O Part (c)Find the 80th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)minO Part (d)Find the median of the average running times.min

GivenMean(μ)=143standard deviation(σ)=13sample size(n)=49

Answered: Suppose that a category of world class…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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None
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