Based on past experience, a company knows that an experienced machine operator (one or more years of experience) will produce a defective item 1% of the time. Operators with some experience (up to one year) will produce a 2.5% defective rate and new operators will produce a 6% defective rate. The company have 60% experienced employees, 30% with some experience and 10% new employees. Find the probability that a particular defective item was produced by a a. Experienced operator. b. Operator with some experience. c. New operator.

 

Based on past experience, a company knows that an experienced machine operator (one or more years of experience) will produce a defective item 1% of the time. Operators with some experience (up to one year) will produce a 2.5% defective rate and new operators will produce a 6% defective rate. The company have 60% experienced employees, 30% with some experience and 10% new employees. Find the probability that a particular defective item was produced by a

a.       Experienced operator.

b.      Operator with some experience.

c.       New operator.