hi guys shafts are classified in terms of the machine tools that wasused for man

Question

hi guys
shafts are classified in terms of the machine tools that wasused for manufactring the shaft and conformance to surface finish and roundness
tool 1       roundness conforms                 yes    no surface finish yes    200    1 conforms   no   4    2


tool 2       roundness conforms                 yes    no surface finish yes    145    4 conforms   no   8    6

a) if a shaft selected at random , what is the probabilitythat the shaft conforms to surface finish requirements or toroundness requirements or is from tool 1?
b) if a shaft selected at random , what is theprobability that the shaft conforms to surface finish requirementsor to roundness requirements or is from tool 2?
c)  if a shaft selected at random , what is theprobability that the shaft conforms to both surface finishand roundness requirements or the shaft is from tool2?





shafts are classified in terms of the machine tools that wasused for manufactring the shaft and conformance to surface finish and roundness
tool 1       roundness conforms                 yes    no surface finish yes    200    1 conforms   no   4    2


tool 2       roundness conforms                 yes    no surface finish yes    145    4 conforms   no   8    6

a) if a shaft selected at random , what is the probabilitythat the shaft conforms to surface finish requirements or toroundness requirements or is from tool 1?
b) if a shaft selected at random , what is theprobability that the shaft conforms to surface finish requirementsor to roundness requirements or is from tool 2?
c)  if a shaft selected at random , what is theprobability that the shaft conforms to both surface finishand roundness requirements or the shaft is from tool2? tool 2       roundness conforms                 yes    no surface finish yes    145    4 conforms   no   8    6

a) if a shaft selected at random , what is the probabilitythat the shaft conforms to surface finish requirements or toroundness requirements or is from tool 1?
b) if a shaft selected at random , what is theprobability that the shaft conforms to surface finish requirementsor to roundness requirements or is from tool 2?
c)  if a shaft selected at random , what is theprobability that the shaft conforms to both surface finishand roundness requirements or the shaft is from tool2?

Explanation / Answer

Part c is a little bit different. We are looking for theprobability that the tool conforms to both roundness requirementsAND surface finish requirements, and adding that to the probabilityof selecting a shaft from tool 2. The probability of selectinga tool that conforms to both roundness requirements and surfacefinish requirements is (200 + 145) / 370. 200 is the number ofshafts from the tool 1 group that meet both requirements, and 145is the number of shafts from the tool 2 group that meet bothrequirements. Then, the probability of selecting a tool thatmeets both requirements is 345/370. Now we have to find theprobability of selecting a shaft from tool 2, but we have to makesure to take into account that we have already counted 145 of theshafts from the tool 2 group in the first calculation. Theprobability, then, is (4 + 6 + 8) / 370 = 18/370. The totalprobability for part c is then the two probabilities we havecalculated added together: (345 + 18) / 370 = 363/370 =.981081.

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.