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An office copier has paper jams on 80% of all copies. However, there is a 10% chance that a disgruntled employee took the machine outside and smacked it with a baseball bat, in which case the machine will paper jam on 99% of all copies.
a) Suppose that a copy made by this copier experienced a paper jam. What is the probability that this machine was smacked?
b) A random sample of 20 copies was made. Suppose that 19 out of the 20 copies experienced a paper jam. What is the probability that this machine was smacked? Hint: What is the probability of observing this result if the machine was not smacked? Hint: What is the probability of observing this result if the machine was smacked?
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