jeffhewins
New member
- Joined
- Oct 23, 2005
- Messages
- 1
Having troubles with this probability question. Can one one help?
Suppose that 20% of all inspected trucks have problems that need to be fixed. Unfortunately, when trucks are inspected they fail to detect these problems 12% of the time. Consider a truck that is inspected and is found to be free of problems. What is the probability that there is indeed something wrong that the inspection has failed to uncover?
I think I can use the Bayes theorem, however, I cant seem to figure out how to get pr(B) in the below formula.
A="a truck is faulty"
B="no fault has been detected"
and Bayes theorem tells us
pr(A|B) = pr(A).pr(B|A)/pr(B)
And Idea?
Thanks Jeff
Suppose that 20% of all inspected trucks have problems that need to be fixed. Unfortunately, when trucks are inspected they fail to detect these problems 12% of the time. Consider a truck that is inspected and is found to be free of problems. What is the probability that there is indeed something wrong that the inspection has failed to uncover?
I think I can use the Bayes theorem, however, I cant seem to figure out how to get pr(B) in the below formula.
A="a truck is faulty"
B="no fault has been detected"
and Bayes theorem tells us
pr(A|B) = pr(A).pr(B|A)/pr(B)
And Idea?
Thanks Jeff