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?