An operations system has three components as indicated below Component 1 0.99 Co

Question

An operations system has three components as indicated below Component 1 0.99 Component 2 0.98 Component 3 0.90 Determine the reliability of this operations system FNB in Windhoek processes loan applications through three bank clerks set up in series with reliabilities of .9,.8 and .99. FNB wants to find the system's reliability. [2 marks] c. [2 marks] d. e. If the lowest performing clerk in 3 is replaced by a clerk performing at .95 reliability, what (2 marks] f. The University of Namibia's 20 air-conditioning systems designed for use by the is the new expected reliability University's astronauts in space shuttles were operated at 1000 hours at the University's Engineering campus, test facility. Two of the systems failed during the test one after 200 hours and the other after 600 hours. Determine the percent of failures [FR%), the number of failures per unit of time [FR(N)], and the mean time between failures (MTBF). Assuming that the typical space shuttle trip lasts 6 days, UNAM is interested in failure rate per trip, determine that for them What will happen to MTBF if non-operating time drop to 800hours [12 marks] g. [5 marks]

Explanation / Answer

R2 new = 0.95 (from 0.8)

C R1 0.99 R2 0.98 R3 0.9 If Series Rnet = R1*R2*R3 Rnet Series 0.87318 If parallel Rnet=1-(1-R1)*(1-R2)*(1-R3) Rnet Parallel 0.99998

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