# Question

The analysis of shafts for a compressor is summarized by conformance to specifications.
Roundness conforms
Yes No
Surface finish yes 345 5
Conforms no 12 8
(a) If a shaft is selected at random, what is the probability that the shaft conforms to surface finish requirements?
(b) What is the probability that the selected shaft conforms to surface finish requirements or to roundness requirements?
(c) What is the probability that the selected shaft either conforms to surface finish requirements or does not conform to roundness requirements?
(d) What is the probability that the selected shaft conforms to both surface finish and roundness requirements

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