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1. The time needed to complete a math examination is bell-shaped with a mean of 90 minutes and a standard deviation of 5 minutes. a)

1. The time needed to complete a math examination is bell-shaped with a mean of 90 minutes and a standard deviation of 5 minutes.

a) What percentage of students will complete the exam in 75 minutes or less?

_________________________ %

b) Assume that the class has 160 students and that the examination period is 100 minutes in length. How many students do you expect will not be able to complete the exam in the allotted time?________________ Round answer to the nearest whole number.

c) A student is classified as extremely "efficient" if the amount of time spent on the exam is the lowest 0.15% for the distribution. What is the upper limit for the time it takes an extremely "efficient" student to finish the exam?

_______________minutes

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