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The time needed to complete a final examination in a particular college course is normally distributed with a mean of 120 minutes and a standard

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 120 minutes and a standard deviation of 25 minutes. Answer the following questions: a. What is the probability of completing the exam in 90 minutes or less? (2 marks) b. What is the probability that a student will complete the exam in more than 90 minutes but less than 130 minutes? (2 marks) c. What is the probability that a student will complete the exam in more than 100 minutes but less than 140 minutes? (2 marks) d. Assume that the class has 218 students and that the examination period is 150 minutes in length. How many students do you expect will be unable to complete the examination in the allotted time? (4 marks)

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