3. Your Toledo factory produces 30% of the motorcycles you make. your Boise fact

Question

3. Your Toledo factory produces 30% of the motorcycles you make. your Boise factory producers produces 50% of the motorcycles you make, and your factory produces the rest of your motorcycles. The probability that a motorcycle from Toledo will require warranty repair is .08 the probability that one from Boise will require repair is 03; and the probability that one from Birmingham will require repair is.10. a) (5 pts,) What is the probability one of your motoreycles (of unknown origin) will require warranty repair? pts.) A delighted customer writes to thank you, because her motorcycle did require warranty repair. What is the probability it came from the Boise factory?

Explanation / Answer

Question 3

Pr(Toledo Factory) = 0.30

Pr(Boise Factory) = 0.50

Pr(Birmigham Factory) =1 - 0.30 - 0.50 = 0.20

Pr(Needs Repair l Toledo Factory) = 0.08

Pr(Needs Repair l Boise Factory) = 0.03

Pr(Needs Repair l BirmiighamFactory) = 0.10

(a) Pr(Warranty Repair) = 0.30 * 0.08 + 0.50 * 0.03 + 0.20 * 0.10 = 0.059

(b) Pr(Didnot require warranty repair) = 1 - 0.059 = 0.941

Pr(COmes from the boise factory) = (0.50 * 0.97)/(0.30 * 0.92 + 0.50 * 0.97 + 0.20 * 0.90) = 0.5154

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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