The mean life of a certain ball bearing can be modeled using a normal distribution with amean of six years and a standard deviation of one year. Determine each of the following:a. The probability that a ball bearing will wear out before seven years of service.

The mean life of a certain ball bearing can be modeled using a normal distribution with amean of six years and a standard deviation of one year. Determine each of the following:a. The probability that a ball bearing will wear out before seven years of service.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

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Concept explainers

Forecasting in Business

Forecasting is the process of predicting the future based on the past and the present data and circumstances. In other words, forecasting is the act of making a detailed analysis of future events based on the decisions made in the past as well as the present. Forecasting plays a very important role in operational management as it helps in planning and decision-making. It is not only important for the success of a business but also contributes to individual growth and success. Many business organizations or companies have failed due to the shortcomings of their forecasting.

Question

The mean life of a certain ball bearing can be modeled using a normal distribution with a
mean of six years and a standard deviation of one year. Determine each of the following:
a. The probability that a ball bearing will wear out before seven years of service.

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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