All bags entering a research facility are screened. Ninety-eight percent of bags with forbidden material trigger an alarm. Fifteen percent of bags without forbidden material trigger an alarm. If 3 of every 1,000 bags entering the facility contain forbidden material, what is the probability that a bag that triggers an alarm actually contains forbidden (P(A)-Pl8|A)) p(A/B)= material?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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All bags entering a research facility are screened. Ninety-eight percent of bags with
forbidden material trigger an alarm. Fifteen percent of bags without forbidden material
trigger an alarm. If 3 of every 1,000 bags entering the facility contain forbidden material,
what is the probability that a bag that triggers an alarm actually contains forbidden
(P(A)-Pl8|A))
p(A/B)=
material?
Transcribed Image Text:All bags entering a research facility are screened. Ninety-eight percent of bags with forbidden material trigger an alarm. Fifteen percent of bags without forbidden material trigger an alarm. If 3 of every 1,000 bags entering the facility contain forbidden material, what is the probability that a bag that triggers an alarm actually contains forbidden (P(A)-Pl8|A)) p(A/B)= material?
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