Shafts are classified in terms of the machine tool that was used for manufacturi

Question

Shafts are classified in terms of the machine tool that was used for manufacturing the shaft and conformance to surface finish and roundness. Tool 1 Roundness Conforms Yes 197 4 No Surface Finish Yes 4 Conforms No Tool 2 Roundness Conforms Yes 145 9 No Surface Finish Yes Conforms No (a) If a shaft is selected at random, what is the probability that the shaft conforms to surface finish requirements or to roundness requirements or is from tool 1? Round your answer to three decimal places (e.g. 98.765) 0.617 (b) If a shaft is selected at random, what is the probability that the shaft conforms to surface finish requirements or does not conform to roundness requirements or is from tool 2? Round your answer to three decimal places (e.g. 98.765) (c) If a shaft is selected at random, what is the probability that the shaft conforms to both surface finish and roundness requirements or the shaft is from tool 2? Round your answer to three decimal places (e.g. 98.765) (d) If a shaft is selected at random, what is the probability that the shaft conforms to surface finish requirements or the shaft is from tool 2? Round your answer to three decimal places (e.g. 98.765)

Explanation / Answer

from above:

a)

P(shaft confirms to surface finish requirement or roundness or from tool 1)

=(207+145+4+9)/(207+163)=0.986

b)

P(conforms to surface finish or does not confirm to roundness or from tool 2)

=(163+197+4+2)/(207+163)=0.989

c)

Probability =(163+197)/(207+163)=0.973

d)

Probability =(163+197+4)/(207+163)=0.984

tool 1 round conforms total surface finish 197 4 201 conforms 4 2 6 total 201 6 207 tool 2 round conforms total surface finish 145 4 149 conforms 9 5 14 total 154 9 163

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