# Question: An airport gamma ray luggage scanner coupled with a neural

An airport gamma ray luggage scanner coupled with a neural net artificial intelligence program can detect a weapon in suitcases with a false positive rate of 2 percent and a false negative rate of 2 percent. Assume a .001 probability that a suitcase contains a weapon. If a suitcase triggers the alarm, what is the probability that the suitcase contains a weapon? Explain your reasoning.

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