$($Chapter $2)$ Problem $2\mathrm{.}8($Page $101)$: $2\mathrm{.}8.$ The Backwoods American company operates a telephone order system for a catalog of its outdoor clothing products. The catalog orders are processed in three stages. In the first stage, the telephone operator enters the order into the computer; in the second stage, the items are secured and batched in the warehouse; and in the final stage, the ordered products are packaged. Errors can be made in orders at any of these stages, and the average percentage of errors that occurs at each stage are as follows: Stage $1,\%$ Errors $12\%,$ Stage $2,\%$ Errors $8\%,$ Stage $3,\%$ Errors $4\%$