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S S5 Output SA Input S3 S2 The five switches in the figure operate inde- pendently. Each switch is closed with probability p and

S S5 Output SA Input S3 S2 The five switches in the figure operate inde- pendently. Each switch is closed with probability p and open with probability (1 - p). a. Find the probability that the signal at the input will not be received at the output. b. Find the conditional probability that the switch S4 is open given that the signal is received at the output.

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