The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.6 minutes. 8 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( 242.6b. What is the distribution of ? ī - N( 240.9192c. What is the distribution of > x? > x - N( 1927.3539 v)192o 7.3539d. If one randomly selected runner is timed, find the probability that this runner's time will be between23.7212 and 24.9212 minutes.e. For the 8 runners, find the probability that their average time is between 23.7212 and 24.9212minutes.f. Find the probability that the randomly selected 8 person team will have a total time less than 186.4.g. For part e) and f), is the assumption of normal necessary? O NoO Yesh. The top 15% of all 8 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

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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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