4. 130 points] Four technicians regularly make repairs when breakdowns occur on

Question

4. 130 points] Four technicians regularly make repairs when breakdowns occur on an automated production line. Janet, who services 20% of the breakdowns, makes an incomplete repair 1 time in 20; Tom, who services 60% of the breakdowns, makes an incomplete repair 1 time in 10: Georgia, who services 15% of the breakdowns, makes an incomplete repair 1 time in 10; and Peter, who services 5% of the breakdowns, makes an incomplete repair 1 time in 20. What is the probability that a complete repair is taken place at a breakdown? a. 20(0,2)+ ¼0(04)tho@is)-loo(0.05)jo.08nsi b. If the initial repair was complete, what is the probability that this initial repair was made by Tom? 0,08 I5 .cesrlly] G.08S c. If the initial repair was incomplete, what is the probability that this initial r was made by Janet?

Explanation / Answer

a) probability that repair was complete =P(Janet and repair complete+Tom and repair complete+Georgia and repair complete+Peter and repair complete)=0.2*(19/20)+0.6*(9/10)+0.15*(9/10)+0.05*(19/20)=0.9125

b)probability that it made by Tom given repair was complete =P(Tom and repair complete)/P(repair complete)

=0.6*(9/10)/0.9125 =0.5918

c) probability of incomplete =1-P(repair complete) =1-0.9125 =0.0875

tehrefore probability that it was made by Janet given repair incomplete

=P(Janet and repair incomplete)/P(repair incomplete) =0.2*(1/20)/0.0875=0.1143

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

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