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?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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