The probability that an airplane accident due to structural failureis diagnosed

Question

The probability that an airplane accident due to structural failureis diagnosed correctly is 0.72, and the probability that anairplane accident that is not due to structural failure isdiagnosed incorrectly is 0.12. If 40% of all airplaneaccidents are due to structural failure, what is the probability ofthe following:
a. That an airplane accident that is diagnosed as due to structuralfailure is actually due to structural failure?
b. That an airplane accident which is diagnosed as due tostructural failure is not actually due to structural failure?
c. Than an airplane accident that is diagnosed as not due tostructural failure is actually due to structural failure?
d. That an airplane accident that is diagnosed as not due tostructural failure is actually not due to structural failure?

Explanation / Answer

.2 .175 .825

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