Estimating probability values using baye theorem


A chemical plant has an emergency alarm system. When emergency situation exists, the alarm sounds with probability 0.95. When emergency situation doesn't exist, the alarm system sounds with probability 0.02. A real emergency situation is the rare event with probability 0.004. Given that the alarm has just sounded, find out the probability that the real emergency situation exists?

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Basic Statistics: Estimating probability values using baye theorem
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