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Cars are being produced by two factories, but factory I produces 2 3 of the cars...

Cars are being produced by two factories, but factory I produces 2 3 of the cars as compared to factory II. Factory I is known to produce 2% defectives and factory II produces 1% defectives. A car is randomly selected and examined to determine whether or not it is defective.

(a) Draw a tree diagram to represent the situation and label all of the probabilities.

(b) What is the probability the car is defective, if it came from factory I?

(c) What is the probability the car is defective, if it came from factory II?

(d) What is the probability the car came from factory I if it is defective?

(e) What is the probability the car came from factory II if it is defective?

Math   Statistics-And-Probability   
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