Question: Consider a system comprising four components (A, B, C and D) connected as in the figure below. A B C D The system is working

Consider a system comprising four components (A, B, C and D)

Consider a system comprising four components (A, B, C and D) connected as in the figure below. A B C D The system is working if there is a path through working components from left to right. Suppose that components fail independently and the time to failure for each component has an exponential distribution with a mean of two years. Let T denote the time of failure for the system. Determine an expression for the probability that the system is working at time t, that is P(T > t). Hence, give the probability density function for the time to failure of the system. Also Determine the mean, variance and moment generating function of the time to failure for the system. Consider a system comprising four components (A, B, C and D) connected as in the figure below. A B C D The system is working if there is a path through working components from left to right. Suppose that components fail independently and the time to failure for each component has an exponential distribution with a mean of two years. Let T denote the time of failure for the system. Determine an expression for the probability that the system is working at time t, that is P(T > t). Hence, give the probability density function for the time to failure of the system. Also Determine the mean, variance and moment generating function of the time to failure for the system

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

2. Consider a system comprising four components (A, B, C and D) connected as in the gure below. \"-1- The system is working if there is a path through working components from left to right. Suppose...

Question 1. Suzie has an issue. She can either move to NY or FL and needs to review some data that her agent gave her. The agent reviewed house prices and crime ratings for houses that Suzie would be...

Consider a parallel system consisting of four components, A, B, C, and D, with probabilities of functioning given by p A = .90, p B = .99, p C = .92 and p D = .85. Find the reliability of the system.

Consider a series system consisting of four components, A, B, C, and D, with probabilities of functioning given by p A = .88, p B = .95 p C = .90, and p D = .80. Find the reliability of the system.

An electronic missile guidance system at Mguide Inc. consists of components A, B, C, and D, which have reliabilities of 0.98, 0.97, 0.91, and 0.95, respectively (see the following diagram). Details A...

Consider a motor vehicle department that operates as follows. Each customer sees a clerk (receptionist) to check their documents for accuracy. The service time per customer (in minutes) can take any...

Excel Online Activity: Systems Reliability An electronic missile guidance system at Mguide Inc. consists of components A, B, C, and D, which have reliabilities of 0.95, 0.98, 0.91, and 0.97,...

An electronic missile guidance system at Mguide Inc. consists of components A, B, C, and D, which have reliabilities of 0.97, 0.95, 0.9, and 0.97, respectively. Round your answers to three decimal...

Question Completion Status: QUESTION 1 A batch contains 100 batteries of which 12 are defective. Two batteries are slected at random without replacement. What is the probability that at least one of...

THERBLIG: A therblig is a basic motion element, the basic building block of virtually all manual work. The 17 therligs were defined by Frank Gilbreth, who devised the word therblig by spelling his...

A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical position. The beam is 2.50 m long and weighs 500 N. At a certain instant the worker holds the beam...

Find the optimal solution for the tollowing problem. Hininize C subject te Ax 12y z 15 Sy 12z E75 6x dy + BE2 15 and a. What is the optimal value of x b. What is the optimai value of y

OK risky acid has expected return of 0.11 and a standard deviation of 0.15 a T bill has a reader return of .05 what percentages of your money must be invested in the risky asset and the risk free...

What is the difference between:Newspapers and magazines ArticlesJournals containing articles written by academics and / or professionalsPeer - reviewed ( refereed or scholarly ) journals.

=+1. NGOs and nonprofits, along with charities, form the social sector.

=+What important functions do these organizations perform that cannot be performed by either governmental or for-profit organizations?

=+2. What potential problems do you see in the rapid growth of nonprofit or nongovernmental organizations? For whom do these groups speak? To whom are they accountable? Particularly in terms of...