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Problem 3. Manufacturer X produces personal computers (PCs) at two different locations in the world. Fifteen percent of the PCs produced at location A are delivered defective to a retail outlet, while 5 percent of the PCs produced at location B are delivered defective to the same retail store. (a) 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. (b) Given that a PC purchased was defective, what is the probability that it came from location A?

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sol Given a Ttotal nummbes ofP Poduced n location A 1000000 pcl yo The defictve fcs fon locton A : TO, 지oooooo 15 100 150ooo The totel nufeotion a 150000 P yeaw Tusdhctve Pc shon location B :-15、150000 100 :7500 Ts total mumbe of dfectiveだJ: 150000 7500 575002 in a Year 1000000 + 150000 Tubanoof defective pC Totul no of ps Roduced 11S0000 0.137

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