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A student stays up all night to study for a test. Whenever he studies, his scores...

A student stays up all night to study for a test. Whenever he studies, his scores follow a normal distribution with a nominal score of 95 % and a standard deviation of 2 % (including occasional extra credit).

a) Write the exact probability (i.e., in terms of the error function) that this student will score in the range x ± 1 %.

b) Write the exact probability that, with extra credit, he will achieve better than a perfect score (>100%).

Math   Statistics-And-Probability   
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