2-87. + The analysis of shafts for a compressor is summa- rized by conformance t

Question

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

Explanation / Answer

(a) Probability that the selected shaft confirms to finish requirements

= (345 + 5) / (345 + 5 + 12 + 8)

= 350 / 370

= 0.95

(b) Probability that the selected shaft confirms to finish requirements or to roundness requirements

= (345 + 5 + 12) / (345 + 5 + 12 + 8)

= 362 / 370

= 0.98

(c) Probability that the selected shaft confirms to surface finish requirements or does not confirm to roundness requirements

= (345 + 5 + 8) / (345 + 5 + 12 + 8)

= 358 / 370

= 0.97

(d) Probability that the selected shaft confirms to both surface finish and roundness requirements

= 345 / 370

= 0.93

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