The time needed to complete a final quiz in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. Answer the following questions.
a. What is the probability of completing the quiz in one hour or less (to 4 decimals)?
b. What is the probability that a student will complete the quiz in more than 60 minutes but less than 75 minutes (to 4 decimals)?
c. Assume that the class has 60 students and that the quiz period is 90 minutes in length. How many students do you expect will be unable to complete the quiz in the allotted time (to nearest whole number)?
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