-114 .None of These QUESTION 3 Based on past experience, a company knows that an

Question

-114 .None of These QUESTION 3 Based on past experience, a company knows that an experienced machine operator will produce a defective item 1.2% of the time, an operator with some experience will have a 2.7% defect rate, and new operators will have a 6% defect rate. At any given time, the company will have 60% experienced operators, 30% with some experience. and 10% new operators. If an item produced is selected at random and found to be defective, what is the probability that it was produced by an experienced operator? 0.0072 0.1212 0.3380 0.5928 0.6057 QUESTION 4 Click Save and Submit to save a?d submit. Click Save All Answers to save all answers Save

Explanation / Answer

solition:

P(experienced|defective) = P(experienced and defective)/P(defective) =

P(experienced and defective)/P(defective and(experienced or some experience or new)) =

P(experienced and defective)/(P(defective and experienced or defective and some experience or defective and new) =

P(experienced and defective)/(P(defective and experienced)+ P(defective and some experience) + P(defective and new)) =

P(experienced)P(defective|experienced)/(P(experienced)P(defective|experienced)+P(some experience)P(defective|some experience)+P(new)P(defective|new)) =

60%*1.2%/(60%*1.2% + 30%*2.7% + 10%*6%) =

.0072/(.0072+.0081+.0060) =

72/213 = 24/71 = 0.338028169014085, which rounds off to 0.3380,

answer is 0.3380

please rate my answer.if you have any doubts leave your comments.

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