2-17 Evertight, a leading manufacturer of quality nails, produces 1-, 2-, 3-, 4-, and 5-inch nails 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. 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 satisfy the requirements of the application?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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2-17 Evertight, a leading manufacturer of quality nails, produces
1-, 2-, 3-, 4-, and 5-inch nails 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.
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
satisfy the requirements of the application?
Transcribed Image Text:2-17 Evertight, a leading manufacturer of quality nails, produces 1-, 2-, 3-, 4-, and 5-inch nails 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. 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 satisfy the requirements of the application?
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