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QUESTION 16 The records of the registrar's office of a certain prestigious university shows that the average time required to graduate with a master's degree is 24 months with a standard deviation on 2.8 months. Further it noted that time durations are normally distributed. Use Z table or software to answer following questions: 1) If a master's student is selected at random from this university, what is the probability that he/she will graduate in 27 months or less? b) Is it unusual for a student to graduate in less than one and half years? What is the probability? If the probability is less than 0.05, it is considered unusual c) What is the time duration in months for graduation that separates fastest (quickest) 1% of the graduates from the rest? Round to the nearest month