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?
Question 7A
A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with
a.0.1602
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.
Step by step
Solved in 3 steps