-14- 02/27/2018 31. Evertight, a leading manufacturer of quality nails, produces

Question

-14- 02/27/2018 31. Evertight, a leading manufacturer of quality nails, produces 1,2,3,4 and 5 inch nails 7 for various uses· In the production process, if there is an overrun or the nails are slightly defective, they are placed in a common bin. Yesterday, 651 of the 1 inch nails, 243 of the 2 inch nails, 41 of the 3 inch nails, 451 of the 4 inch nails and 333 of the 5 inch nails were placed in the bin. (7) a. What is the probability of reaching into the bin and getting a 4 inch nail? b. What is the probability of getting a 5 inch nail? c. If a particular application requires a nail that is 3 inches or shorter, what is the probability of getting a nail that will satisty the requirement of the application?

Explanation / Answer

Solution:- Total number of nails = 651 + 243 + 41 + 451 + 333 = 1719

a. P(4 inch) = 451 / 1719 = 0.2624  

b. P(5 inch) = 333 / 1719 = 0.1937

c. P(3 or shorter) = P(1) + P(2) + P(3) = ( 651 + 243 + 41 ) / 1719 = 0.5439

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

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