Glenn Howell, Vice President of Personnel at Standard Insurance, has developed a new training program fully adaptable to the pace of users. New hires work in various stages at their own work rate; the end of the training is when the material is learned. Howell's program has been especially effective in speeding up the training process, as an employee's salary during training is only 67% of what he would earn upon completion of the program. In recent years, the average completion of the program has been 44 days, with a standard deviation of 12 days.

a) Find the probability that an employee completes the program between 33 and 42 days.

b) What is the probability of completing the program in less than 30 days?