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 = 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.