The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.2 minutes. 14 runnersare randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible andassume a normal distribution.a. What is the distribution of X? X - N(b. What is the distribution of x? x - N(c. What is the distribution of Σα? Σd. If one randomly selected runner is timed, find the probability that this runner's time will be between24.618 and 25.218 minutes.X- NOe. For the 14 runners, find the probability that their average time is between 24.618 and 25.218minutes.f. Find the probability that the randomly selected 14 person team will have a total time less than354.2.g. For part e) and f), is the assumption of normal necessary? Yes Noh. The top 15% of all 14 person team relay races will compete in the championship round. These are the15% lowest times. What is the longest total time that a relay team can have and still make it to thechampionship round?minutes

given data, μ=25σ=2.2n=14we have to find out the distribution of x ,x¯ and given probabilties

Answered: The average time to run the 5K fun run…

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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