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?