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Question 11 10 pts A professor believes that if a class is allowed to work on the exam as long as desired, the time spent by the students is normally distributed with a mean of 70 minutes and a standard deviation of 5 minutes. Answer the following: a. What is the probability that a student will take less than 63 minutes to finish the exam? b. The professor would like to end the exam when 88% of the students have turned in their exam. How much time (in minutes) should she allocate for the exam? c. Use normal approximation to estimate the probability that a randomly selected student will take exactly 72 minutes to complete the exam