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Suppose that minor defects are distributed over the length of a cable according to a Poisson process with rate 9 per meter and, independently, major

Suppose that minor defects are distributed over the length of a cable according to a Poisson process with rate 9 per meter and, independently, major defects are distributed over the same cable according to a Poisson process with rate 1 per meter. a. If exactly 1 minor defect has been found in the first 1 meter of the cable, what is the probability it is within the first 20 cm b. If exactly 2 defects have been found in the first 1 meter of the cable, what is the Probability that one is a minor and other is a major defect?

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