![]() ![]() Go horizontally to the fitted line and then up to the probability scale where the estimate of the probability of failure is read and is 38 per cent. Enter the Weibull plot on the vertical time scale at the chosen time, 100,000 hours. Suppose that an estimate is desired of the probability of fan failure before 100,000 hours, based on a Weibull fit to the fan data. Īn estimate of the probability of failure before some chosen specific time is obtained by the following. Go vertically down to the fitted line and then horizontally to the time scale where the estimate of the percentile is read and is 14,000 hours. Figure 62.6, on the probability scale at the chosen percentage point, 5 per cent. Suppose, for example, that an estimate based on a Wei-bull fit to the fan data is desired of the fifth percentile of the distribution of time to fan failure. Thus, the line fitted to data on hazard paper. The probability scale for the cumulative distribution function appears on the horizontal axis at the top of hazard paper and is determined from that relationship. (This will be discussed later.) The normal plot is curved concave upward which.įor any distribution, the cumulative hazard function and the cumulative distribution junction are connected by a simple relationship. It should be noted that the reason the probability scale on the exponential hazard plot is crossed out is because that is not the proper way to plot data. ![]() The exponential plot is a reasonably straight line which indicates that the failure rate is relatively constant over the range of the data. įigures 62.8, 62.9, 62.10 show the data for generator fan failure plotted on exponential, normal and log normal hazard paper respectively. If a reasonably large number of operations in the set being evaluated have known probabilities (for example. In order to convert the SLI scale to a probability scale, it is necessary to calibrate it. The SLIs represent a measure of the likelihood that the operations will succeed or fail, relative to one another. In this type of plot the particle diameter should be plotted as the ordinate and the cumulative percent on the log-probability scale as the abscissa. Most crystalline-product distributions plotted on arithmetic- probability paper will exhibit a straight line for a considerable portion of the plotted distribution. Coefficient of Variation One of the problems confronting any user or designer of crystallization equipment is the expected particle-size distribution of the solids leaving the system and how this distribution may be adequately described. ![]()
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