Question 2: At the end of the last semester, Samantha took four final exams. The mean and standard deviations for each exam along with Samantha's grade for each are listed below. Assume that the grades are normally distributed. Exam Mean Standard Deviation Samantha's grade Physics 75.4 6.3 78.2 World History 85.6 4.1 83.4 General 88.2 3.5 89.2 Psychology Behavioral 70.4 8.6 82.5 Statistics a. On which exam did Samantha do her best, relative to the other students taking the exam? b. What is her percentile rank on that exam that she did her best?

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