Question

The failure time, in weeks, of a component is a random variable with a Weibull distribution...

The failure time, in weeks, of a component is a random variable with a Weibull distribution with parameters a=7.49 and b=1.28. What is the probability that the component will still be working after 1.0 weeks?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The failure time of a component is a random variable with an exponential distribution that has...
The failure time of a component is a random variable with an exponential distribution that has a mean of 777,6 hours. What is the probability that the component will still be working after 2014 hours ?
Consider a system with one component that is subject to failure, and suppose that we have...
Consider a system with one component that is subject to failure, and suppose that we have 90 copies of the component. Suppose further that the lifespan of each copy is an independent exponential random variable with mean 30 days, and that we replace the component with a new copy immediately when it fails. (a) Approximate the probability that the system is still working after 3600 days. Probability ≈≈ (b) Now, suppose that the time to replace the component is a...
The failure time of a component is believed to be an Exponential random variable. A component...
The failure time of a component is believed to be an Exponential random variable. A component life test is performed, with the goal being to make inferences about the mean time to failure. One component is in operation at all times; in the event of failure, the failed component is immediately replaced by a new component. Observation begins at time T = 0 and ends at time T = 1,840 minutes, during which time 14 failures occur. Which is the...
The reliability of a component is modelled by a two parameter Weibull distribution with a shape...
The reliability of a component is modelled by a two parameter Weibull distribution with a shape factor (β) equal to 2, and scale factor (η) equal to 100 weeks. The reliability function (R(t)) as a function of time (weeks) is: ?(?) = ?-(t/η)^β a) Explain what the reliability function represents, and when it might be used? (1 mark) b) If the component has survived for 20 weeks of operation, what is the probability that the component will fail in the...
The length of time in hours that a certain part lasts follows a Weibull distribution with...
The length of time in hours that a certain part lasts follows a Weibull distribution with parameters α = 2 and β = 2. a. What are the mean and standard deviation of this distribution? b. What is the probability that the part lasts less than 1 hour? c. What is the equation for the failure rate of the part? d. If the distribution is actually Gamma instead of Weibull find the equation for the failure rate of the part...
The lifetime of a car follows the Weibull distribution with a failure rate of 0.1 per...
The lifetime of a car follows the Weibull distribution with a failure rate of 0.1 per year and parameter a = 0.5. What is the time to which 25% of the cars will last?
Suppose that a system has a component whose time in years until failure is nicely modeled...
Suppose that a system has a component whose time in years until failure is nicely modeled by an exponential distribution. Assume there is a 60% chance that the component will not fail for 5 years. a) Find the expected time until failure. b) Find the probability that the component will fail within 10 years. c) What is the probability that there will be 2 to 5 failures of the components in 10 years.
Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution with...
Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution with β = 2 and δ = 4000. Determine the following in parts (a) and (b): P(X > 5000) P(X > 8000|X > 3000) Comment on the probabilities in the previous parts compared to the results for an exponential distribution.
5. A) A VCR has an exponential failure time distribution, with an average time of 20,000...
5. A) A VCR has an exponential failure time distribution, with an average time of 20,000 hours. If the VCR has lasted 20,000 hours, then the probability that it will fail at 30,000 hours or earlier is: B) Of the following normal curves, with the parameters indicated, the one that most closely resembles the curve with parameters ϻ = 10 and σ = 5 and it is: C) The service time at the window of a certain bank follows an...
For a component with a log normal "time to failure" with mean time to failure=2days and...
For a component with a log normal "time to failure" with mean time to failure=2days and standard deviation of time to failure=0.2days, find: a) R(3 days) b) h(3 days) c) R(5 days) d) h(5 days)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT