245 Manufacturer X produces personal computers PCs at two di

2.45 Manufacturer X produces personal computers (PCs) at two different locations in the world. Fifteen percent of the PCs produced at location A are delivered to a retail outlet detective, while five percent of the PCs produced at location B are delivered defective to the same retail store. If the manufacturing plant at A produces 1,000,000 PCs per year and the plant at B produces 150,000 PCs per year, find the probability of purchasing a defective PC.

Solution

A produces (0.15)(1000000) = 150,000 defective PCs.

B produces (0.05)(150000) = 7,500 defective PCs.

Hence, a total of 157,500 PCs are there, out of 1,150,000.

Thus,

P(defective) = 157,500 / 1,150,000 = 0.136956522 [ANSWER]