Example 13.4A local manufacturer of copying equipment includes a repair warranty with each copier. Virtu-ally all of his equipment exhibit an increasing failure rate. Based on historical repair data, thefailure rate for Model 25cc7 is accurately described by the function r(t) = 2.7786t'3, where tis measured in months of continuous operation. What is the probability that the time betweentwo successive failures of this equipment exceeds two months of operation?

Answered: Image /qna-images/answer/874f7f66-df62-47c0-82ec-603168ccbbf7.jpg

Answered: Example 13.4 A local manufacturer of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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59. What is the purpose of the Monitoring Plan? Tracks the number of defects over time Creates alerts when a process exceeds Control limits Tepee Tracks who are team members on a project Creates a history of performance over time ✓
9.19 In bottle production, bubbles that appear in the glass are considered defects. Any botle that has more than two bubbles is elassified as "nonconforming" and is sent to recycling Suppose that a particular production line produces bottles with bubbles at a rate of 1. bubbles per bottle. Bubbles occur independently of one another. a What is the probability that a randomly chosen bottle is nonconfornming? b Bottles are packed in cases of 12. An inspector chooses one bottle from each case and examines it for defects. If it is nonconforming, she inspects the entire case, re placing nonconforming bottles with good ones. This process is called rectification If the chosen bottle conforms (has two or fewer bubbles), then she passes the cuse. In total, 20 cases are produced. What is the probability that at least 18 of them pass! c What is the expected number of nonconforming bottles in the 20 cases after they have been inspected and rectified using the scheme described in part b?
One of the solar instruments on a satellite has three major parts, all of which must operate. Two have reliabilities of .7 and the other has a reliability of .9. In case the system fails, there is an identical backup system that kicks on automatically. The overall reliability of the system, including the backup, is closest to:
Consider a production process making controllers for video game consoles. The processoperates on a 30-second/unit cycle time. It has 10 stations, with the most error-proneactivity carried out at station 2. Inspection happens at the end of the process and thereare about 600 units of inventory between step 2 and the inspection.What would be the information turnaround time for a defect made at station 2?
do fast
If the test/retest reliability of a measure is .80, it means The measure meets typical reliability standards. The measure should be revised to get closer to 100% reliability The measure is actually unreliable and should be discarded The measure likely has good construct validity
A manufacturer of household kettles subjected 50 kettles to 10 000 hours of testing. Test results for the 50 kettles show that there were two failures at 3500 hours, two failures at 4800 hours, one failure at 8600 hours, and two more failures at 9000 hours. 4.1.1 Calculate the failure rate percentage (FR %).4.1.2 Calculate the number of failures per unit-hour (FR N).4.1.3 Calculate the MTBF at this point in testing.
CAN YOU PROVIDE THIS IN EXCEL, I CANT FIGURE OUT HOW TO DO THE EQUATIONS IN EXCEL. One of the industrial robots designed by a leading producer of servomechanisms has four major components. Components’ reliabilities are .98, .95, .94, and .90. All of the components must function in order for the robot to operate effectively.a. Compute the reliability of the robot.b. Designers want to improve the reliability by adding a backup component. Due to space limitations, only one backup can be added. The backup for any component will have the same reliability as the unit for which it is the backup. Which component should get the backup in orderto achieve the highest reliability?c. If one backup with a reliability of .92 can be added to any one of the main components, which component should get it to obtain the highest overall reliability?
In a certain assembly, 90% of all of the weld failures occur in the weld metal itself, and the remaining 10% occur in the base metal. When a weld failure occurs in the base metal, the corresponding section needs to be repaired thoroughly. Assume that the type of failure of a weld occurs independently of the types of failures of other welds. A sample of 50 weld failures is examined. a) How many of these failures would you expect to occur in the base metal? b) What is the standard deviation of the number of failures needing thorough repairs? c) What is the probability that fewer than six of these weld failures need thorough repairs? d) Of the next three batches of 50 weld failures inspected, what is the probability that only one of the batches will contain sections requiring thorough repairs?
Several years ago, Baecher, de Neufville, and Paté carried out a study of reported failures of large dams around the world. They concluded that the failure rate was 0.0001 per dam-year. A dam-year is defined as one dam operating for one year. The definitions of "failure" and "large dam" are subject to dispute, but the study has become the basis for much of the reliability studies done by agencies that operate dams. Almost everyone assumes that this failure rate represents a constant failure rate (CFR) scenario even though there is good reason to believe that a bathtub curve, with higher rates of failure at the beginning and end of the life cycle, might be more appropriate. Assuming that the CFR model is accurate, answer the following: a) What is the mean time to failure (MTTF) in dam-years for the Baecher et al. model? b) If an agency manages a portfolio of 350 dams, and they are independent of each other, what is the mean time the agency can expect to carry on before a failure occurs?…
The reliability dimension of quality relates to the useful life of a good or service. True False
2. An electronic device has three components. Those components are in series, so the failure of one causes the failure of the device. The reliability (probability that there is no fault) the device can be improved by installing one or two drives reserve in each component. The following table shows the reliability r and the cost c (see image). The capital available for the manufacture of the device is $10,000. How should the device be manufactured? Make the formulation in dynamic programming of the problem. Hint: The objective is to maximize reliability, that is, the function is multiplicative, not additive.

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