Question

A training program is used by a corporation to direct hirees to appropriate jobs. The program consists of two steps.
Step I identifies 35% as management trainees, 50% as nonmanagerial workers, and 15% to be fired.
In step II, 65% of the management trainees are assigned to managerial positions, 30% are assigned to nonmanagerial positions, and 5% are fired. Also in step II, 55% of the nonmanagerial workers are kept in the same category, 15% are assigned to management positions, and 30% are fired.

(a) What is the probability that a randomly chosen hiree will be assigned to a management position at the end of the training period?

(b) What is the probability that a randomly chosen hiree will be fired by the end of the training period?

(c) What is the probability that a randomly chosen hiree will be designated a management trainee but not be appointed to a management position?

Answer 1

a) probability that a randomly chosen hiree will be assigned to a management position at the end of the training period = 0.35*0.65+0.50*0.15 = 0.3025

b)  probability that a randomly chosen hiree will be fired by the end of the training period = 0.15 + 0.35*0.05 + 0.50*0.30 = 0.3175

c)  probability that a randomly chosen hiree will be designated a management trainee but not be appointed to a management position= 0.35*0.30+0.35*0.15 =0.1575