# Question: A workstation is used until it fails and then it

A workstation is used until it fails and then it is sent out for repair. The time between failures, or the length of time the workstation functions until it needs repair, is a random variable T. Assume the times between failures, T1, T2, Tn... of the workstations available are independent random variables that are identically distributed. For , let the number of workstations that have failed be .

(a) If the time between failures of each workstation has an exponential PDF, then what type of process is N (t)?

(b) Assume that you have just purchased 10 new workstations and that each has a 90- day warranty. If the mean time between failures (MTBF) is 250 days, what is the probability that at least one workstation will fail before the end of the warranty period?

(a) If the time between failures of each workstation has an exponential PDF, then what type of process is N (t)?

(b) Assume that you have just purchased 10 new workstations and that each has a 90- day warranty. If the mean time between failures (MTBF) is 250 days, what is the probability that at least one workstation will fail before the end of the warranty period?

## Answer to relevant Questions

Suppose the arrival of calls at a switchboard is modeled as a Poisson process with the rate of calls per minute being λ a = 0.1 (a) What is the probability that the number of calls arriving in a 10- minute interval is less ...Model lightning strikes to a power line during a thunderstorm as a Poisson impulse process. Suppose the number of lightning strikes in time interval t has a mean rate of arrival given by s, which is one strike per 3 minutes. ...Let X (t) be a Weiner process with diffusion parameter λ as described in Section 8.5. Determine whether or not X (t) is mean square continuous. A square matrix is called a stochastic matrix if all of its elements satisfy 0= pi, j = 1 and, furthermore for all i. Every stochastic matrix is the transition probability matrix for some Markov chain; however, not every ...A communication system sends data in the form of packets of fixed length. Noise in the communication channel may cause a packet to be received incorrectly. If this happens, then the packet is retransmitted. Let the ...Post your question