5. Problem 5. There are two machines available for eutting corks intede for use

Question

5. Problem 5. There are two machines available for eutting corks intede for use in wine bottles. The first producns corks with diameter that are mormally (Gausisn) distributed with mesn a and standard deviation 0.1am. The second machise produces corks with diametens that have ormal (Gsusina) distribution with mean 3.04m and standand devia on 0.02cm Acceptable corks have diameters bentween 2:9cm and 3 em Which machine is more biely to produce an acceptalle cork Pl, justify your answer in a quantitative me

Explanation / Answer

Solution:

P(2.9 X1 3.1) = P(2.9 3/0.1 Z 3.1 3/0.1)
= P(1 Z 1)
= 0.8413 0.1587
= 0.6826

P(2.9 X2 3.1) = P(2.9 3.04/0.02 Z 3.1 3.04/0.02)
= P(7 Z 3)
= 0.9987 0
= 0.9987

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

---

---

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