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 µ = 50 and σ = 4; or a score of X = 60 on an exam with µ = 50 and σ = 20.
b. A score of X = 40, on an exam with µ = 45 and σ = 2; or a score of X = 60 on an exam with µ = 70 and σ = 20.
c. A score of X = 62, on an exam with µ = 50 and σ = 8; or a score of X = 23 on an exam with µ = 20 and σ = 2.
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