A car manufacturer purchases car batteries from two differen

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.

Solution

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