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

a. 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.

b. 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.

c. A score of X = 62, on an exam with \(\mu \) = 50 and \(\sigma \) = 8, or a score of X = 23 on an exam with \(\mu \) = 20 and \(\sigma \) = 2.