What is the probability of failure in 300 months

Assignment Help Mechanical Engineering

Reference no: EM131211437

PLEASE SEE ATTACHMENT FOR QUESTION 1 & 2 PDF FUNCTION

1. A manufacturing company produces many different products for wholesale distribution. Its flagship product, a reverse cylindrical dipolar tube, has a failure distribution given by the following PDF:

(a) Find and MTTF

(b) Find the probability that a failure will occur after the second year and by the end of the tenth year.

(d) Construct the hazard rate function, ?(t). Is it IFR, DRF, or CFR?

2. The time to failure in operating hours of a critical solid-state power unit has the hazard rate function

a. What is the reliability if the power unit must operate unit must operate continuously for 50 hours?

b. Determine the design life if a reliability of 0.90 is desired.

3. A system contains 10 serially related identical components with CFR hazard . If a design life of 5 years with a reliability of 0.92 is required, what should the system MTTF and median time to failure be? What will the component MTTF be?

4. Time to failure for a product follows a Weibull distribution with ß = 2 and ? = 400 months.
Please use R code to calculate these answers, and show R code along with your answers.

a. What is the reliability at 150 months?

b. What is the probability of failure in 300 months?

c. Now suppose shape = 1. Find the reliability at 150 months. What is the reliability at 300 months, given that the product survived up to 150 months? Compare the two resulting values and comment on your observation

Attachment:- 1809638_1_Test-Trial-Q4.docx

Reference no: EM131211437

Questions Cloud

Analyze the performance of its emergency department : MA0261 - Assignment Problem description. A hospital wants to analyze the performance of its emergency department (ED) and is interested in the following questions, among others: How are the waiting times distributed across different patient groups

Effective tax rate-cash tax rate and structural tax rate : Imagine that you work in an accounting firm and your boss has requested you to present an overview of the tax structure to your organization. Two presentations have been requested. The first is a presentation that explains the differences between the..

Describe why does your state lean republican or democrat : Does your state lean Republican or Democrat? Why? Who are your senators? What are their party affiliation, background, length of service, voting record, and key issues?

Embry riddle aeronautical university : With the demand for electronic trading the demand for cheaper delivery of products has grown. Companies have made it essential to find better ways to deliver customer orders in the least amount of time possible with lower cost. As the leading e-co..

What is the probability of failure in 300 months : A system contains 10 serially related identical components with CFR hazard . If a design life of 5 years with a reliability of 0.92 is required, what should the system MTTF and median time to failure be? What will the component MTTF be?

Compute the contribution margin for the current year : Viejol Corporation has collected the following information after its first year of sales. Sales were $1,600,000 on 100,000 units, selling expenses $220,000 (40% variable and 60% fixed), direct materials $508,000, direct labor $282,200, Compute (1) th..

Discuss your thoughts on the millennial generation : After watching the TedTalks video discuss your thoughts on the "Millennial generation" in terms of group identity in an organization.

Should the political and diplomatic leaders of the us : A robust discussion of this very important issue. Should the political and diplomatic leaders of the United States (including the President, and/or the Secretary of State) meet with our "adversaries" without preconditions?

What amount of gain does spartan recognize in the exchange : Katarina transferred her 10 percent interest to Spartan Company as part of a complete liquidation of the company. In the exchange, she received land with a fair market value of $200,000. Katarina's basis in the Spartan stock was $100,000. The land ha..

User Account

All Pages