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4. The ve switches in the gure operate independently. Each switch is closed with probability p and open with probability (1 p). Input 34 Output

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4. The ve switches in the gure operate independently. Each switch is closed with probability p and open with probability (1 p). Input 34 Output 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 S3 is open given that the signal is received at the output

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