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In a meat packaging plant Machine A accounts for 55% of the plant's output, while Machine B accounts for 45% of the plant's output. In total, 5% of the packages are improperly sealed. Also, 4% of the packages are from Machine A and are improperly sealed.
a. If a package is selected at random, what is the probability that it will be properly sealed?
b. If a package selected at random came from Machine A, what is the probability that it is improperly sealed?
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