The probability of a randomly chosen hiree being fired at the end of the trainin

Question

The probability of a randomly chosen hiree being fired at the end of the training period is _______

?(Type an integer or a? decimal.)

A training program is used by a corporation to direct hirees to appropriate jobs. The program consists of two steps. Step I identifies 32?% as management? trainees, 63?% as nonmanagerial? workers, and 5?% to be fired. In step? II, 76?% of the management trainees are assigned to managerial? positions, 21?% are assigned to nonmanagerial? positions, and 3?% are fired. In step? II, 62?% of the nonmanagerial workers are kept in the same? category, 9?% are assigned to management? positions, and 29?% are fired. What is the probability that a randomly chosen hire will be fired at the end of the training? period?

Explanation / Answer

In the figure, we simply multiply the stems leading up to being fired (F).

For MT,

P(F|MT) = 0.32*0.03 = 0.0096

For direct fire,

P(DF) = 0.05

For NW,

P(F|NW) = 0.63*0.29 = 0.1827

Adding all these possibilities,

P(F) = 0.0096 + 0.05 + 0.1827 = 0.2423 [ANSWER]

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