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Alice and Betty are going to take the second midterm exam. Suppose their scores will have...

Alice and Betty are going to take the second midterm exam. Suppose their scores will have normal distributions that center at their first midterm exam scores, with the same standard deviation 5. Suppose that exam scores do not have upper bounds. If they got 38 and 42 in the first midterm, respectively, then what is the probability that both of their second midterm scores will be above 45?

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