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Question: a small brewery has two bottling machines machine a produces...

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A small brewery has two bottling machines. Machine A produces 70% of the bottles, and machina B produces 30%. 1 out of every 20 bottles filled by A is rejected for some reason, while 1 out od 30 bottles from B is rejected. (a) What proportion of bottles is rejected? (10%) (b) What is the probability that a randomly selected bottle comes from machina A, given that it is rejected?

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