If a complete failure occurs, calculate the probability that the fault occurred in: (i) The input stage (ii) The processing stage.

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The probabilities that a computer program has a fault in the input, output and processing stages are 0.06, 0.07 and 0.4 respectively. The probabilities of complete failure caused by faults in each of these stages are 0.3, 0.05 and 0.8 respectively

If a complete failure occurs, calculate the probability that the fault occurred in:

(i) The input stage

(ii) The processing stage.