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A car manufacturer purchases car batteries from two different suppliers. Supplie

ID: 3386549 • Letter: A

Question

A car manufacturer purchases car batteries from two different suppliers. Supplier A provides 55% of the batteries and supplier B provides the rest. If 5% of all the batteries from supplier A are defective and 4% of the batteries from supplier B are defective and a battery is selected at random, Determine the probability that a randomly selected battery is A. ) Defective B.) not defective (deducted from question a) C) Given that the randomly selected battery is defective, find the probability it's from Supplier A.

Explanation / Answer

A) Prob for a random selected battery defective = 2.75+1.80 = 4.55% =0.0455

B) Prob for a random selected battery not defective = 1-0.0455 = 0.9545

C) P(Defective/Supplier A) = 2.75%/55% = 0.05

Supplier Supply Defects A 55% 5% 2.7500% B 45% 4% 1.8000%
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