Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is at least one closed path when the relays are activated. The relays may malfunction and not close when activated. Suppose that the relays act independently of one another and close properly when activated with probability 0.9. a 3 4 b (a) What is the probability that current flows when the relays are activated? (b) Given that current does not flow when the relays are activated, what is the probability that relay 1 has malfunctioned?

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