Question

Suppose that 30 percent of the bottles produced in a certain plant are defective. If a bottle is defective, the probability is 0.9 that an inspector will notice it and remove it from the filling line. If a bottle is not defective, the probability is 0.2 that the inspector will think that it is defective and remove it from the filling line. If a bottle is removed from the filling line,what is the probability that it is defective?

A) 7.10

B) 0.659

C) 0.818

D)16.667

E) 0 .951

Answer 1

TOPIC:Application of the Bayes' theorem.

(Rounded to three decimals).