1. An electronic component in a satellite radio made by Spacescope, Inc. has a failure rate of λ =0.0000165 units/hour. Find the mean time to failure (MTTF). What is the probability (assuming anexponential probability distribution) that the component will not have failed after 20,000 hours ofoperation? Calculate your answer using the appropriate mathematical formula and verify your resultusing Excel. Then draw the reliability function to verify your answer visually.2. Magnaplex, Inc. has a complex manufacturing process, with three operations that are performed inseries. Because of the nature of the process, machines frequently fall out of adjustment and must berepaired. To keep the system going, two identical machines are used at each stage; thus, if one fails,the other can be used while the first is repaired (see accompanying figure).BProduction SystemThe reliabilities of the machines are as follows:MachineAReliability0.850.92Bс0.90a. Analyze the system reliability, assuming only one machine at each stage (all the backup machinesare out of operation).b. How much is the reliability improved by having two machines at each stage?

Question 1: let's analyze the failure rate and probability of the electronic component:Mean Time To…

Answered: 1. An electronic component in a…

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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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?
Consider an expensive part with a reliability of 96.6%. If the part fails, it will cost the firm $8,000. a. What is the expected failure cost per part? The probability of failure is 100% (round your response to two decimal places). The expected failure cost per part is $320.00 (round your response to the nearest penny). b. On each part, a rather unreliable backup can be installed that has a reliability of just 40.00%. What is the maximum amount that the firm should be willing to pay per part to install the backup? The new probability of failure is % (round your response to two decimal places). The new expected cost of failure is $ (round your response to the nearest penny). The firm should pay as much as $ for the backup (round your response to the nearest penny). c. Suppose that a second 40.00% reliable backup part could be installed, so that if both the original and the first backup part fail, then the second backup part will be used. If that second backup part costs $110.00, should…
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?…
As compared to a system without backup (shown below), 0.99 0.97 0.87 0.99 0.97 0.87 0.99 0.97 0.87 the reliability of the system with backup (shown at the top of the screen) is higher by % (enter your response as a percentage rounded to two decimal places).
Reliability prediction is a design-assist process by which the reliability characteristics of a system are obtained, by calculating the anticipated system RAMS (Reliability, Availability, Maintainability and Safety-Integrity) from assumed component failure rates. Discuss the importance of reliability prediction and the factors that affect the reliability performance of electronics components.
The remaining part of the case and question below : Fortunately, shipboard emergencies are infrequent, but when they do occur they are problematic. For instance, the Costa Concordia hit a rock and sank off Italy, causing32 people to die. A generator fire on the Carnival Triumph stranded 4000 passengers for four days. Sporadically, viruses causing diarrhea and vomiting strike cruise ships, causingCarnival to take an infected ship out of service to eradicate all traces of the virus by sanitizing virtually every object on board.Although these incidents are costly, the cruise industry has a fatality rate three times better than airlines. Economic Issues Spending for a cruise is generally considered discretionary. During recessions, people are more apt to take shorter cruises and to embark from nearby ports rather than flying to faraway points of departure. Interestingly, however, in comparison with other segments of the tourist industry, cruise lines have fared well during economic…

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