Question

The fault tree, shown below, analyses a the subsystem failures that could cause brake failure. • The probability of each component failing to operate when required is: Brake Pads Fail: probability of failure = 0.0002 Brake Sensor Fails: probability of failure = 0.004 Brake Controller Fails: probability of failure = 0.001 Brake Actuator Fails: probability of failure = 0.002 Brake Fails Brake Pads Fail Brake Sensor Fails Brake Controller Fails Brake Actuator Fails What is the probability that the brakes will fail?

Answer 1

(0.0002 + 8 X10-9) Brake failo 10 $ 0.000200008 OR A (0.004x0.001 0.002) - 8x10-9 Brahe bado AND 0.0002 fail Brake Sendoy said Brake controller Brak Awator fail fails H 0.004 I 0.001 0.002

due to AND gate, probability is product of input probability. due to or gate, probability in summation of all topup input probability. Hence, probability of brake fail = = 1 0.000200008 NOTE from given analysio, brake fail is brake pado failo. to mootly due