Question J Conditional probability, Bayes' theorem (30 points) Line de produces 20%, line B produces 30%, and line produ
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Question J Conditional probability, Bayes' theorem (30 points) Line de produces 20%, line B produces 30%, and line produ
Question J Conditional probability, Bayes' theorem (30 points) Line de produces 20%, line B produces 30%, and line produces 50% of the total number of TV assembly factory. The defective output of these TVs is 2%, 3% and 5%, respectively, a) Draw the tree diagram with detailed descriptions on the branches (including the probability for each branch) [10 points) b) Ifa TV is selected at random, find the probability of the event that the TV is defective. (round to 3 decimal places) [10 points) c) Ifa TV is selected at random and is found to be defective, what is the probability that the TV engine was produced by line B? (round to 3 decimal places) (10 points)