2) The training program for production supervisors at a particular company consists of two phases. Phase 1, which involves 3 weeks of classroom work, is followed by phase 2, which is a 3-week apprenticeship program under the direction of working supervisors. From past experience, the company expects only 60 percent of those beginning classroom training to be graduated into the apprenticeship phase, with remaining 40 percent dropped completely from the training program. Of those who make it to the apprenticeship phase, 70 percent are graduated as supervisors, 10 percent are asked to repeat to the second phase, and 20 percent are dropped completely from the training program.

a) If the participant start as an apprentice, how many weeks will he stay as an apprentice before being dropped or graduated from the program?

b) What is the average number of weeks will the classroom trainee participant stay in that state before being dropped or graduated from the training program?

c) What is the probability that a participant in the apprenticeship phase will drop from the training program? d) What is the probability that a classroom participant will graduate from the training program?

e) How many supervisors can the company expect from the current training program if it has 45 people in the classroom phase and 21 people in the apprenticeship phase?

f) In the long-run, how many participants will drop from the training program?