Today’s Definition of Failure

Slides:



Advertisements
Similar presentations
Slide 1 The basic problem Working Age t PDF f(t) Failures do not happen at fixed times. They occur randomly based on a distribution. Probabilty Density.
Advertisements

Chapter 6 Continuous Random Variables and Probability Distributions
T-3 Histograms. Histogram Basics A histogram is a special type of bar graph that measures the frequency of data Horizontal axis: represents values in.
1.6 Limits involving infinity. Infinite limits Definition: The notation (read as “the limit of of f(x), as x approaches a, is infinity”) means that the.
Probability Distributions
1 Human Capital. 2 In economics we talk about the 4 basic resource groups Land, Labor, Capital (things made to make other things), and Entrepreneurship.
Continuous Probability Distributions In this chapter, we’ll be looking at continuous probability distributions. A density curve (or probability distribution.
Graphing. Representing numerical information in a picture. Graph shows a picture of a relationship -how two processes relate -what happens when two events.
Warm Up Show all definite integrals!!!!! 1)Calculator Active: Let R be the region bounded by the graph of y = ln x and the line y = x – 2. Find the area.
Chapter 13 Statistics © 2008 Pearson Addison-Wesley. All rights reserved.
CONTINUOUS RANDOM VARIABLES AND THE NORMAL DISTRIBUTION.
Example Ex. Find all asymptotes of the curve Sol. So x=3 and x=-1 are vertical asymptotes. So y=x+2 is a slant asymptote.
Graphs of Normal Probability Distributions The graph of a normal distribution is called a normal curve. It takes on the shape of a bell and is referred.
Section 15.3 Area and Definite Integral
AIM: WHAT IS A LIMIT? HW#59 p. 218 – 219 # 14, 17, 18, 19, 20 p. 219 # 26 27, 29a 1.
Position Time Graphs Physics.
Supply Supply is a relation showing the various amounts of a commodity that a seller would be willing and able to make available for sale at possible alternative.
Aim: Can I display and analyze data using Histograms? SWBAT: Define and create a histogram based on data. Do Now: Compare the 2 charts below, how are they.
How do you read a bar graph? In this lesson you will learn about organizing data by reading a bar graph.
2-2 Making Predictions Indicators  D1- Read, create, and interpret graphs D2- Analyze how decisions about graphing affect the graphical representation.
7 - 1 Module 6: Line Graphs This module provides information on arithmetic scale and semi-logarithmic or ratio scale line graphs. Reviewed 15 April 05.
Best in Class 15 % 5 % 80 % 100 % Reactive / Deviation work Too little, too late 60 % 20 % 100 % Industry Average Non-value added Too much, too early Base.
–1 –5–4–3–2– Describe the continuity of the graph. Warm UP:
Type I and Type II Errors. For type I and type II errors, we must know the null and alternate hypotheses. H 0 : µ = 40 The mean of the population is 40.
5.1 Areas and Distances. Area Estimation How can we estimate the area bounded by the curve y = x 2, the lines x = 1 and x = 3, and the x -axis? Let’s.
Rearranging the equation f(x)=0 into the form x=g(x)
Graphing Technique; Transformations
Today’s Lesson: “SLOPES”
Calculus I (MAT 145) Dr. Day Wednesday Nov 1, 2017
Radioactive Decay Radioactive elements are unstable. They decay, change, into different elements over time. Here are some facts to remember: The half-life.
Absolute Value Functions
Chapter 12 Statistics 2012 Pearson Education, Inc.
Earthquake P-wave & S-wave Travel Time Chart Tutorial
Here is the graph of a function
Radioactive Decay Radioactive elements are unstable. They decay, change, into different elements over time. Here are some facts to remember: The half-life.
Tell a Story with the Data
Let’s get our brains back on track …
OTHER RATIONAL FUNCTIONS
Derivative of a Function
Area of a Region Between Two Curves (7.1)
Copyright © Cengage Learning. All rights reserved.
Worksheet – Earthquake P-wave & S-wave Travel Time Chart Tutorial
Length of Curves and Surface Area
Scientific Graphing Objective: To be able to graph results from an experiment and interpret the results.
3.6 – Critical Points & Extrema
Finding The Slope of a Line
How to construct a Table and Graph
Statistics: The Interpretation of Data
Chapter 6: Normal Distributions
Graphing Data.
TECHNIQUES OF INTEGRATION
5.2 Exploring Translations of Quadratic Relations
Section 4.3 Riemann Sums and The Definite Integral
3.8: Newton’s Method Greg Kelly, Hanford High School, Richland, Washington.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
15.1 Histograms & Frequency Distributions
Calculus I (MAT 145) Dr. Day Monday March 25, 2019
Why Retirement Planning is Hard – The Three Main Reasons
12.3: Function Analysis of Parametric Equations
EQ: How do we construct dot plots and histograms
How do horizontal bar graphs differ from vertical bar graphs?
How do we use bar graphs to display data?
Radioactive Decay Radioactive elements are unstable. They decay, change, into different elements over time. Here are some facts to remember: The half-life.
Finding the Slope.
Chapter 14.1 Goodness of Fit Test.
Y X Equation of Lines.
Graphing Key Equations
Calculus I (MAT 145) Dr. Day Wednesday March 20, 2019
Chapter 12 Statistics.
2.2 Infinite Limits and Limits at Infinity
Presentation transcript:

Today’s Definition of Failure Equipment not performing intended function Functionally failed Today’s definition of failure Failure starts here P Potential Failure P-F Interval Let’s examine today’s definition of failure. This graph shows time on the horizontal axis, and the conditional probability of failure on the vertical axis. Let’s assume the graph is tracking a key indicator of an asset’s health. Animation – point 1 In the past, we defined failure as that point when equipment broke. You can see this point at the right end of the curve. Animation – point 2 But most failures do not occur instantly, so at some point, the indicator that we are tracking begins to change, indicating that the equipment is beginning to fail. And as we now know, this point is not necessarily related to age. Animation – point 3 The condition of this indicator deteriorates to a point where it can be detected. This point is known as Potential Failure, point P on the curve. Animation – point 4 If the deterioration is not corrected, it will continue until the point where the asset no longer performs its intended function. The asset may still be working, but not at the desired performance level. We show this as point F on the curve. This is today’s definition of failure, the point where the asset fails to perform its intended function. Animation – point 5 The amount of time that elapses between the detection of a potential failure and its deterioration to functional failure is known as the P-F interval. Conditional probability of failure Equipment broken Old definition of failure Time