Problem 4.- Consider the following circuit with 7 switches: i.- Suppose switches operate independently and each switch works with probability .9. What is the probability that current will flow from point a to point b? Hint: You could think of the circuit as being constituted by three independent branches. ii.- A circuit is defective if the current cannot flow from point a to point b. Let p be the probability that the current does not flow from point a to point b. Suppose that a lot of 20 of these circuits is inspected for defectives and if two or more are found to be defective, the whole lot is rejected. What is the probability that the lot will be rejected?
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981\) - Probability of sub system 2 working: \(0.81\) - Probability of sub system 3 working: \(0.940\) - Probability of the whole system working: \(0.9999639\) Show more…
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