8, A motor company has three plants. Plant A produces 35% of the car output, pla

Question

8, A motor company has three plants. Plant A produces 35% of the car output, plant B produces 20%, and plant C produces the remaining 45%, one percent of the output of plant A is defective, as is 1.8% of the out put of plant B, and 2% of the output of plant C. The annual total output of Motor company is 1000000 cars. A car is chosen at random from the annual output and it is found to be defective. a. What is the probability that defective car came from plant A? b. What is the probability that defective car came from plant B? c. What is the probability that defective car came from plant C?

Explanation / Answer

total cars produced = 1000000

A = 350000 , B = 200000, C = 450000

Defective A = 3500

Defective B = 3600

Defective C =9000

A). P = 3500/350000 = 0.01

B). P = 3600/200000 = 0.018

C). P = 9000/450000 = 1/50 = 0.02

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