The Journal of Engineering in Industry (Aug. 1993) reported on an automated system designed to replacethe cutting tool of a drilling machine at optimum times. To test the system, data were collected over abroad range of materials, drill sizes, drill speeds, and feed rates – called machining conditions. Although atotal of 168 different machining conditions were possible, only eight were employed in this study. Theseare described below:ExperimentWorkpieceDrill Size(in.)2525Drill Speed(грт)12501800Feed RateMaterial(ipr).011.0051Cast IronCast IronSteelSteel252537502500.003.003.0084Steel25.125.1252500SteelSteel400040003000.0065.009.010Steel.125a. Suppose one (and only one) of the 168 possible machining conditions will detect a flaw in the system.What is the probability that the experiment conducted in the study will detect the system flaw?b. Suppose the system flaw occurs when drilling steel material with a 25-inch drill size at a speed of2,500 rpm. Of the 168 possible machining conditions, only 7 have such a configuration. Find theprobability that the experiment conducted in the actual study will detect the system flaw.23 56700

Part(a): The probability of machining combination defecting a flaw is, 1168 therefore, the…

The Journal of Engineering in Industry (Aug. 1993) reported on an automated system designed to replace the cutting tool of a drilling machine at optimum times. To test the system, data were collected over a broad range of materials, drill sizes, drill speeds, and feed rates – called machining conditions. Although a total of 168 different machining conditions were possible, only eight were employed in this study. These are described below: Workpiece Material Cast Iron Drill Speed (gpm) 1250 1800 3750 Еxperiment Drill Size (in.) .25 25 Feed Rate (ipr) .011 .005 1 2 3 4 Cast Iron Steel Steel 25 25 .003 .003 2500 5 Steel 25 2500 .008 .0065 .009 .010 6. Steel Steel .125 .125 4000 4000 7. Steel .125 3000 a Suppose one (and only one) of the 168 possible machining conditions will detect a flaw in the system. What is the probability that the experiment conducted in the study will detect the system flaw? b. Suppose the system flaw occurs when drilling steel material with a 25-inch drill size at a speed of 2,500 rpm. Of the 168 possible machining conditions, only 7 have such a configuration. Find the probability that the experiment conducted in the actual study will detect the system flaw.

The Journal of Engineering in Industry (Aug. 1993) reported on an automated system designed to replace the cutting tool of a drilling machine at optimum times. To test the system, data were collected over a broad range of materials, drill sizes, drill speeds, and feed rates – called machining conditions. Although a total of 168 different machining conditions were possible, only eight were employed in this study. These are described below: Workpiece Material Cast Iron Drill Speed (gpm) 1250 1800 3750 Еxperiment Drill Size (in.) .25 25 Feed Rate (ipr) .011 .005 1 2 3 4 Cast Iron Steel Steel 25 25 .003 .003 2500 5 Steel 25 2500 .008 .0065 .009 .010 6. Steel Steel .125 .125 4000 4000 7. Steel .125 3000 a Suppose one (and only one) of the 168 possible machining conditions will detect a flaw in the system. What is the probability that the experiment conducted in the study will detect the system flaw? b. Suppose the system flaw occurs when drilling steel material with a 25-inch drill size at a speed of 2,500 rpm. Of the 168 possible machining conditions, only 7 have such a configuration. Find the probability that the experiment conducted in the actual study will detect the system flaw.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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