In a dairy factory, machine A (Homogenizer machine) produces 50%, Machine B (Milk Separator machine) produces 30%, and M

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In A Dairy Factory Machine A Homogenizer Machine Produces 50 Machine B Milk Separator Machine Produces 30 And M 1 (96.81 KiB) Viewed 83 times

In a dairy factory, machine A (Homogenizer machine) produces 50%, Machine B (Milk Separator machine) produces 30%, and Machine C (Mixer machine) produces 20% of the total number of bottle of milks in a factory in a given day. The defective output of these machines is 2% 3% and 4%, respectively. a) Draw the tree diagram with detailed descriptions on the branches (including the probability for each branch). [10 points] b) If a bottle of milk is selected at random, find the probability of the event that the selected bottle of milk is defective. (round to 3 decimal places) [10 points] c) If a bottle of milk is selected at random and is found to be defective, what is the probability that the selected bottle of milk was produced by Machine A? (round to 3 decimal places).