(a) A simple electronic circuit follows an exponential distribution consists of 5 transistors each having a failure rate
Posted: Wed Dec 08, 2021 5:22 am
(a) A simple electronic circuit follows an exponential distribution consists of 5 transistors each having a failure rate of 10-6 f/hr., 5 diodes each having a failure rate of 0.5 x 10-6 f/hr., 2 capacitors each having a failure rate of 0.2 x 10-6 f/hr., 9 resistors each having a failure rate of 5 x 10-6 fhr. and 2 switches each having a failure rate of 2 x 10-6 fhr. Assuming connectors and wiring are 100% reliable, evaluate the equivalent failure rate of the system and the probability of the system surviving 1000 hours if all components must operate for system success. 3 Marks (b) If the life X (in years) of a certain type of car has a Weibull distribution with the parameter B=3, find the value of the parameter a given that the probability that the life of the car exceeds 4 years is e-058 2 Marks