My friend and I are missing these questions #4 and #5 and do not understand how to get to the answers if you could give us step by step on the TI84 calculator.The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.3 minutes. 42 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.If one randomly selected runner is timed, find the probability that this runner's time will be between 20.1676 and 20.5676 minutes. For the 42 runners, find the probability that their average time is between 20.1676 and 20.5676 minutes. Find the probability that the randomly selected 42 person team will have a total time less than 856.8. For part e) and f), is the assumption of normal necessary? NoYesThe top 15% of all 42 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

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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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My friend and I are missing these questions #4 and #5 and do not understand how to get to the answers if you could give us step by step on the TI84 calculator.

The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.3 minutes. 42 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.

If one randomly selected runner is timed, find the probability that this runner's time will be between 20.1676 and 20.5676 minutes.
For the 42 runners, find the probability that their average time is between 20.1676 and 20.5676 minutes.
Find the probability that the randomly selected 42 person team will have a total time less than 856.8.
For part e) and f), is the assumption of normal necessary? NoYes
The top 15% of all 42 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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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