SAT math scores follow a normal distribution with an approximate μ = 500 and σ = 100. Also ACT math scores follow a normal distribution with an approximate μ = 21 and σ = 4.7. You are an admissions officer at a university and have room to admit one more student for the upcoming year. Joe scored 600 on the SAT math exam, and Kate scored 25 on the ACT math exam. If you were going to base your decision solely on their performances on the exams, which student should you admit? Explain.
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