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In a communication system the signal sent from point a to point b arrives by two paths in parallel. Over each path the signal passes

In a communication system the signal sent from point a to point b arrives by two paths in parallel. Over each path the signal passes through two repeaters (in series). Each repeater in one path has a probability of failing (becoming an open circuit) of 0.005. This probability is 0.005 for each repeater on the other path. All repeater fail independently of each other. Find the probability that the signal will not arrive at point b.

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