Montgomery, Applied Statistics and Probability for Engineers, 7e HelR I System A

Question

Montgomery, Applied Statistics and Probability for Engineers, 7e HelR I System Announcements PRINTER VERSION BACK NEXT Reserve Supplemental Exercises Chapter 2 Problem 11 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 No Surface Finish Yes 197 Conforms No Tool 2 Roundness Conforms Yes No Surface Finish Yes 145 4 Conforms No 9 (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). (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 27 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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