Question

A system consists of two components A and B that are connected in series. If the...

A system consists of two components A and B that are connected in series. If the lifetime of A is exponentially distributed with a mean 200 hours and the lifetime of Bis exponentially distributed with a mean of 400 hours, what is the PDF of X, the time until the system fails?

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

Homework Answers

Answer #1

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
Question 1. a) Consider a queuing system that consists of n machines working in series (serial...
Question 1. a) Consider a queuing system that consists of n machines working in series (serial system). That is, each job in the queue has to go through all machines. The lifetime of each machine is exponentially distributed with rate li (i=1,…n). What is the expected amount of time until the failure of the system? b) Consider a queuing system with n parallel machines (parallel system). That is, each job in the queue can be completed by one of the...
Imagine an electrical circuit with three components wired in series. This means that if any of...
Imagine an electrical circuit with three components wired in series. This means that if any of the components fails, then the circuit will fail. Suppose that each component has an exponentially distributed lifetime, with ?1=0.235,?2=0.129, and ?3=0.274 (units measured in years). Give your answers to three decimal places. What's the chance the circuit is still working after one year?   The circuit ended up working for the first year. What's the chance it will last another two years?   What's the expected...
Consider the system comprised of three components as shown below. Suppose • The lifetime of Component...
Consider the system comprised of three components as shown below. Suppose • The lifetime of Component 1 is exponentially-distributed with parameter λ1 = 1/10. • The lifetime of Component 2 is exponentially-distributed with parameter λ2 = 1/20. • The lifetime of Component 3 is exponentially-distributed with parameter λ3 = 1/15. The system is working if both (A) Component 1 is working, and (B) Component 2 or/and Component 3 is working. Compute the probability that the system is still working at...
A system contains two components X, Y which both need to work in order for the...
A system contains two components X, Y which both need to work in order for the system to run. The lifetime of component X is an exponential random variable X with parameter 3, and the lifetime of component Y is an exponential random variable Y with parameter 2. Assume that X,Y are independent. Let Z denote the lifetime of the system, which depends on X, Y a. Describe Z as a function of X, Y b. Find the PDF of...
The lifetime of a mechanical part is exponentially distributed with a mean of 200 hours. a)...
The lifetime of a mechanical part is exponentially distributed with a mean of 200 hours. a) What is the probability that an assembly on test fails in less than 150 hours? b) What is the probability that an assembly operates for more than 700 hours before failure?
A box consists of 16 components, 6 of which are defective. (a) Components are selected and...
A box consists of 16 components, 6 of which are defective. (a) Components are selected and tested one at a time, without replacement, until a non-defective component is found. Let X be the number of tests required. Find P(X = 4). (b) Components are selected and tested, one at a time without replacement, until two consecutive non defective components are obtained. Let X be the number of tests required. Find P(X = 5).
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...
Please show your work. The answer is only for reference. You have two electrical components of...
Please show your work. The answer is only for reference. You have two electrical components of two different kinds. The lifetime of the first kind is exponentially distributed with parameter .2 and the lifetime of the second kind is exponentially distributed with parameter .3. If the lifetimes of the two are independent, what is the probability that the first will fail before the second? Answer: .4
5. A pumping system consists of two identical pumps connected in parallel, so that if either...
5. A pumping system consists of two identical pumps connected in parallel, so that if either pump fails, the system still operates. The probability that a pump will fail is during the period for which it was designed is 10% a. What is the probability that the system works throughout the period for which it was designed? b. How many pumps in parallel are needed if we want the probability that the system will work throughout its useful life is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT