For a recent 10k run, the finishers are normally distributed with mean 63 minutes and standard deviation 14 minutes. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Determine the percentage of finishers with times between 45 and 75 minutes.
For a recent 10k run, the finishers are normally distributed with mean 63 minutes and standard deviation 14 minutes. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Determine the percentage of finishers with times between 45 and 75 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
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- [Standard Normal Distribution Table - Page 2](#)
#### Problems and Solutions:
a. **Determine the percentage of finishers with times between 45 and 75 minutes.**
- **Solution:** Approximately **70.50%** of finishers had times between 45 and 75 minutes. (Round to two decimal places as needed.)
b. **Determine the percentage of finishers with times less than 80 minutes.**
- **Solution:** Approximately **88.77%** of finishers had times less than 80 minutes. (Round to two decimal places as needed.)
c. **Obtain and interpret the 30th percentile for the finishing times.**
- **Solution:** The 30th percentile is **[ ]** minutes. (Round to two decimal places as needed.)
Click on the links provided to access the standard normal distribution tables necessary to solve these problems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4cf2595-fe80-4355-a077-fa7b5d3da7e9%2F17cc2046-7317-43e6-81ab-cb06e31fdf46%2F6zhmlot_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### 10K Run Finishers' Time Analysis
For a recent 10K run, the finishers are normally distributed with a mean time of 63 minutes and a standard deviation of 14 minutes.
#### Tasks:
Complete the following parts (a) through (d):
#### Resources:
- [Standard Normal Distribution Table - Page 1](#)
- [Standard Normal Distribution Table - Page 2](#)
#### Problems and Solutions:
a. **Determine the percentage of finishers with times between 45 and 75 minutes.**
- **Solution:** Approximately **70.50%** of finishers had times between 45 and 75 minutes. (Round to two decimal places as needed.)
b. **Determine the percentage of finishers with times less than 80 minutes.**
- **Solution:** Approximately **88.77%** of finishers had times less than 80 minutes. (Round to two decimal places as needed.)
c. **Obtain and interpret the 30th percentile for the finishing times.**
- **Solution:** The 30th percentile is **[ ]** minutes. (Round to two decimal places as needed.)
Click on the links provided to access the standard normal distribution tables necessary to solve these problems.
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