Question 3: Conditional probability Bavesitheorem 30 points) In a fruit juice company, machine A (crusher) prodnces 45%.
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Question 3: Conditional probability Bavesitheorem 30 points) In a fruit juice company, machine A (crusher) prodnces 45%.
Question 3: Conditional probability Bavesitheorem 30 points) In a fruit juice company, machine A (crusher) prodnces 45%.. Machine B Guice extractor) produces 35%, and Machine C (filler) produces 20% of the total work for fruit juice in a factory on a given day, The defective output of these machines is 1%, 2% and 3%, respectively. a) Draw the tree diagram with detailed descnptions on the branches (including the probability for each branch) [10 points] b) Ifa can of juice is selected at random, find the probability of the event that the can is defective (round to 3 decimal places) [10 points) c) Ifa can of juice is selected at random and is found to be defective. what is the probability that the can was filled by Machine C? (round to 3 decimal places) (10 points)