Question

A machine is composed of 4 components that work independently and each component has its useful...

A machine is composed of 4 components that work independently and each component has its useful life related to an exponential model with an average of 3 years. It is known that the machine only works when the 4 components are in perfect condition. Determine the machine's service life density. Also calculate the probability that the machine's service life will exceed 4 years

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The detailed solution is given in the pictures below.

Please go through them carefully specially the notations.

Hope the solution helps. Thank you.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A machine is composed of 4 components that work independently and each component has its useful...
A machine is composed of 4 components that work independently and each component has its useful life related to an exponential model with an average of 3 years. It is known that the machine only works when the 4 components are in perfect condition. Determine the machine's service life density. Also calculate the probability that the machine's service life will exceed 4 years
A Machine has 11 identical components which function independently. The probability that component will fail 0.2....
A Machine has 11 identical components which function independently. The probability that component will fail 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.
4. An electrical system consists of 3 components (C1, C2 and C3) functioning independently, and are...
4. An electrical system consists of 3 components (C1, C2 and C3) functioning independently, and are set in parallel layout. The failure density of each component is given as below: ?(?) = { 3? −3? , ? > 0 0 , ??ℎ?????? where X is in years. (a) Calculate the probability that any one component will fail in less than 3/4 years. (b) Write the complete failure density for the model appropriate for the system if all the components fail...
An electrical system consists of 3 components (C1, C2 and C3) functioning independently, and are set...
An electrical system consists of 3 components (C1, C2 and C3) functioning independently, and are set in parallel layout. The failure density of each component is given as below: ?(?) = { 3? −3? , ? > 0 0 , ??ℎ?????? where X is in years. (a) Calculate the probability that any one component will fail in less than 3 4 years. (b) Write the complete failure density for the model appropriate for the system if all the components fail...
1)The Gilbert Instrument Corporation is considering a proposed project for its capital budget. The company estimates...
1)The Gilbert Instrument Corporation is considering a proposed project for its capital budget. The company estimates the project's NPV is $12 million. This estimate assumes that the economy and market conditions will be average over the next few years. The company's CFO, however, forecasts there is only a 50% chance that the economy will be average. Recognizing this uncertainty, she has also performed the following scenario analysis: Economic Scenario Probability of Outcome         NPV Recession 0.05 -$84 million     Below average 0.20...
1.) You will work with 0.10 M acetic acid and 17 M acetic acid in this...
1.) You will work with 0.10 M acetic acid and 17 M acetic acid in this experiment. What is the relationship between concentration and ionization? Explain the reason for this relationship 2.) Explain hydrolysis, i.e, what types of molecules undergo hydrolysis (be specific) and show equations for reactions of acid, base, and salt hydrolysis not used as examples in the introduction to this experiment 3.) In Part C: Hydrolysis of Salts, you will calibrate the pH probe prior to testing...
for the scenario below: 1) Apply the qualitative analysis by identifying at least 3 issues in...
for the scenario below: 1) Apply the qualitative analysis by identifying at least 3 issues in the above process. Analyse these issues by using a. Adding-value and Waste Analysis b. Issue register, If you find that there are more than three issues, you can focus on the three issues that have the highest impact. 2). Calculate the cycle time efficiency of the as-is process. You can assume a working week of 40 hours. In case there is missing information, you...
INTELLECTUAL PROPERTY  Industrial property forms part of the broader concept of "intellectual property."  The...
INTELLECTUAL PROPERTY  Industrial property forms part of the broader concept of "intellectual property."  The objects of intellectual property are the creations of the human mind, the human intellect hence the expression "intellectual" property.  In a somewhat simplified way, one can state that intellectual property relates to pieces of information which can be incorporated in tangible objects at the same time in an unlimited number of copies at different locations anywhere in the world.  The property is...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities where tires were made and another 20 facilities for various components and materials used in tires. Each manufacturing facility produced 10,000 tires every hour. Quality had always been emphasized at BridgeRock, but lately quality was a bigger issue because of recent fatal accidents involving tires made by other manufacturers due to tread separation. All tire manufacturers were under pressure to ensure problems did not...
The Business Case for Agility “The battle is not always to the strongest, nor the race...
The Business Case for Agility “The battle is not always to the strongest, nor the race to the swiftest, but that’s the way to bet ’em!”  —C. Morgan Cofer In This Chapter This chapter discusses the business case for Agility, presenting six benefits for teams and the enterprise. It also describes a financial model that shows why incremental development works. Takeaways Agility is not just about the team. There are product-management, project-management, and technical issues beyond the team’s control. Lean-Agile provides...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT