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The heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).
Height is measured in inches.
A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches?
A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5.3 inches?
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