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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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
 
Question 7B 

An important part of the customer service responsibility of a telephone company relates to the speed with which problems in residential service can be corrected. Suppose past data indicate that the likelihood is 0.7 that a problem in residential service can be corrected on the same day. Ten problems are reported today.

 

What is the probability that all 10 problems will be corrected today.

a.0.00847
b.0.28285
c.0.02825
d.0.210
 
 
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