Question: For each of the following, identify the exam score that should lead to the better grade. In each case, explain your answer.

1. A score of X = 56 on an exam with \(\mu \) = 50 and \(\sigma \) = 4, or a score of X = 60 on an exam with \(\mu \) = 50 and \(\sigma \) = 20
2. A score of X = 40 on an exam with \(\mu \) = 45 and \(\sigma \) = 2, or a score of X = 60 on an exam with \(\mu \) = 70 and \(\sigma \) = 20.
3. A score of X = 40 on an exam with \(\mu \) = 45 and \(\sigma \) = 2, or a score of X = 60 on an exam with \(\mu \) = 70 and \(\sigma \) = 20.

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