×
Log in to StudySoup
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.12 - Problem 10e
Join StudySoup for FREE
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.12 - Problem 10e

Already have an account? Login here
×
Reset your password

A system consists of two subsystems connected in series,

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 10E Chapter 4.12

Statistics for Engineers and Scientists | 4th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 432 Reviews
22
4
Problem 10E

Problem 10E

A system consists of two subsystems connected in series, as shown in the following schematic illustration. Each subsystem consists of two components connected in parallel. The AB subsystem fails when both A and B have failed. The CD subsystem fails when both C and D have failed. The system fails as soon as one of the two subsystems fails. Assume that the lifetimes of the components, in months, have the following distributions: A: Exp(l), B: Exp(0.l), C: Exp(0.2), D: Exp(0.2).

a. Generate, by simulation, a large number (at least 1000) of system lifetimes.

b. Estimate the mean system lifetime.

c. Estimate the median system lifetime.

d. Estimate the probability that the system functions for more than 6 months.

e. Estimate the 90th percentile of system lifetimes.

f. Estimate the probability that the AB subsystem fails before the CD subsystem does.

Step-by-Step Solution:

Solution:

Step 1of 4:

  A system consist of two subsystems connected in series. Each subsystem consist of two components connected in parallel. Subsystem  1 and 2 fails if both components of the system fails. The system fails if one of two subsystem fails. The lifetime of components in months have distributed as A: exp(1) , B: exp(0.1) ,C: exp(0.2), D: exp (0.2).

               

The system fails if one of two subsystem fails. Let X1 , X2 and Y1,Y2 denote the lifetime of components A,B, C, D respectively. And L1 and L2 are the lifetime of both subsystem. So the lifetime of the system can be represented as  L= Min (L1,L2).


Step 2 of 4

Chapter 4.12, Problem 10E is Solved
Step 3 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

A system consists of two subsystems connected in series,