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In a meat packaging plant, Machine A accounts for 60% of the plant's output while Machine Baccounts for 40% of the plant's output. 1% of the packages from Machine A are improperly sealed while 2% of the packages from Machine B are improperly sealed.

a) What is the probability that a randomly chosen package is improperly sealed?

b) If a package is selected at random and found to be improperly sealed, what is the probability that it came from Machine A?

c) If a package is selected at random and found to be properly sealed, what is the probability that is came from Machine A?

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