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I1. Problem Solving. 1. In a university, the average number of years a person takes to complete a master's degree program is 3 and the standard deviation is 4 months. Assume the variable is normally distributed. If an individual enrolls in the program, find the probability that it will take: a. more than 4 years to complete the program b. less than 3 years to complete the program c. between 3.8 and 4.5 years to complete the program d. between 2.5 and 3.1 years to complete the program 2. The mean age of a population of 10,000 is 56 years old, with standard deviation of 5 years. If the ages are normally distributed, how many a. have ages between 40 and 45 years? b. are senior citizens (more than or equal to 60)? c. are teenagers (between 13 and 19)? d. are ages 56 years old and below (less than or equal 56)