posted by corey .
A company has two factories that manufacture tires. Suppose 65% of the tires are manufactured in factory 1 and 35% are manufactured in factory 2. In factory 1, 5% of the tires are defective. In factory 2, 2% of the tires are defective.
a) Determine the probability that a defective tire is produced
b) A defective tire is discovered. What is the probability the defective tire came from factory 2?
Please show your work.