Question: The time it takes for a statistics professor to mark his midterm test is normally distributed with a mean of 5.8 minutes and a standard

The time it takes for a statistics professor to mark his midterm test is normally distributed with a mean of 5.8 minutes and a standard deviation of 1.5 minutes. There are 60 students in the professor's class. (Hint: the 60 midterm testes of the students in this year's class can be considered a random sample of the many thousands of midterm testes the professor has marked and will mark.)

i) What is the probability that he needs more than 5.9 hours to mark all the midterm

tests? (4 marks)

ii) What is the probability that he needs less than 5.5 hours to mark all the midterm

tests? (4 marks)

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