A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95; when an emergency situation does not exist, the alarm sounds with probability 0.02. A real emergency situation is a rare event with probability 0.004. Given that the alarm has just sounded, what is the probability an emergency situation exists? a.0.1602 b.0.0034 c.0.2372 d.0.0240

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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Question 7A

A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95; when an emergency situation does not exist, the alarm sounds with probability 0.02. A real emergency situation is a rare event with probability 0.004. Given that the alarm has just sounded, what is the probability an emergency situation exists?

a.0.1602

b.0.0034
c.0.2372
d.0.0240
 
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