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Mathematics, 25.06.2021 22:10 kalbaugh

If it is raining, a home security system detects an intruder with probability 0.70. If it is NOT raining, the probability becomes 0.92. The probability of rain on any
given day is 0.25. To test the system on a randomly chosen day, the system technician pretends to be an intruder. Given that the technician will NOT be detected, what is the probability that it is NOT raining? (Hint: Use Bayes’ Theorem.)

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