1. (2-87) The analysis of shafts for a compressor is summarized by conformance t

Question

1. (2-87) The analysis of shafts for a compressor is summarized by conformance to specifications: Roundness Conforms No Yes Surface Finish Yes 345 12 Conforms No (a) If a shaft is selected at random, what is the probability that it conforms to surface finish requirements? (b) What is the probability that the selected shaft confroms to surface finish requirements or to roundness requirements? (c) What is the probability that the selected shaft either conforms to surface finish require- ments or does not conform to roundness requirements? (d) What is the probability that the selected shaft conforms to both surface finish and round ness requirements?

Explanation / Answer

from above:

a) probability =350/370= 0.9459

b) probability =1-P(it conforms to none) =1-(8/370)=0.9784

c)

probability =1-P(neither confirms to surface finsih and confirm to roundness) =1-(12/370) =0.9676

d)

probability =345/370 =0.9324

Yes No total Yes 345 5 350 No 12 8 20 total 357 13 370

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