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Solve the question and show all steps: Three firms produce all the popcorns used by vending...

Solve the question and show all steps: Three firms produce all the popcorns used by vending machines in public areas in a southern state. Company X accounts for 70% of the popcorns, Company Y 19%, and Company Z 11%. The probability of the vending machine getting an unfilled popcorn bag is 2% for Company X, 2% for Company Y, and 4% for Company Z. Suppose an unfilled popcorn bag is found. What is the probability that it came from Company X?

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