A mechanical device has a wear out time that is normally distributed with a mean of 1100 hours and a standard deviation of 50 hours. Find the percentage of devices that will have a wear out time of between 1000 hours and 1075 hours.

Answered: Image /qna-images/answer/bfb2f8a7-1c13-49b7-ba07-258f53c83afe.jpg

Answered: A mechanical device has a wear out time…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 11PT

See similar textbooks

Related questions

Question

A mechanical device has a wear out time that is normally distributed with a mean of 1100 hours and a standard deviation of 50 hours. Find the percentage of devices that will have a wear out time of between 1000 hours and 1075 hours.

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.

Expert Solution