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A cell phone company has three different production sites.
Five percent of the cells from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3.
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?

Respuesta :

Answer:

3/11

Step-by-step explanation:

given that a cell phone company has three different production sites

Site name                    1                              2                     3               Total

Production                  60%                         30%                10%             100%

Recalled                        5%                           7%                   9%                  

Prob for recall            0.003                       0.021             0.009         0.033

Total probability for recall = 0.033

Prob for recall and came from site 3 = 0.009

So required probability

= If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3

=[tex]\frac{0.009}{0.033} \\=\frac{3}{11}[/tex]