The analysis of shafts for a compressor is summarized by conformance to specific

Question

The analysis of shafts for a compressor is summarized by conformance to specifications. If a shaft is selected at random, what is the probability that it conforms to surface finish requirements? What is the probability that the selected shaft conforms to surface finish requirements or to roundness requirements? What is the probability that the selected shaft either conforms to surface finish requirements or does not conform to roundness requirements? What is the probability that the selected shaft conforms to both surface finish and roundness requirements?

Explanation / Answer

SolA:

surface finish total=345+5=350

P(A)=350/370=0.9459

SolutionB:

P(AUB)needs to be found

A---SURFACE FINISH REQUIREMENTS

B--ROUNDNESS REQUIREMENTS

P(AUB)=P(A)+P(B)-P(A and B)

=350/370+357/370-345/370

=350+357-345/370

=362/370

=0.9784

solutionc:

does not conform to roundness requirements ia

E=13370

P(AUE)=350/370+13/370-5/370

=350+13-5/370

=0.9676

Solutiond:

P(A)=345/370=0.9324

ROUNDNESS CONFORMS TOTAL SURFACE FINISH YES 345 5 350 CONFORMS NO 12 8 20 TOTAL 357 13 370

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