The analysis of shafts for a compressor is summarized by conformance t

wurmiana6d 2021-11-20 Answered
The analysis of shafts for a compressor is summarized by conformance to specifications. Suppose that a shaft is selected at random. What is the probability that the selected shaft conforms to surface finish requirements or to roundness requirements?
RoundnessConformsDoes notConformsSurfaceConform3455FinishDoes not18Conform
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Expert Answer

Kevin Hunt
Answered 2021-11-21 Author has 20 answers
Given,
The analysis of shafts for a compressor is summarized by conformance to specifications. Suppose that a shaft is selected at random. Whats the probability that the selected shaft conforms to surface finish requirements orto roundness requirements?
 SurfaceRoundness(B)Finish(A)Confirm(B1)NotConform(B2)Confirm(A1)3455NotConform(A2)128
Let us consider,
A be the event of getting shaft that conforms to surface finish requirements.
B be the event of getting shaft that conforms to roundness requirements.
The total number of outcomes, n(S)=345+5+12+8=370
To find P(AUB)
the required formula,
P(AB)=P(A)+P(B)P(AB)
Calculate the probability,
P(AB)=345+5370+345+12370345370
=350370+357370345370
=0.9460+0.96490.9324
=0.9785
Therefore, the probability of the shaft conforms to surface finish requirements or to roundness requirements is 0.9785 or 97.85%.
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