Corporate downsizing in the United States has caused a significant increase in the demand for temporary and part-time workers. In Japan a sinlilar increase in demand has been fueled by the need for less costlv labor and protection against variation in labor demand. The distribution (in percent) of nonregular workers in Japan in 1992

(by age) is provided in the table on page 133

(adapted from Monthly Labor Review, Oct. 1995).

Column headings are defined below the table.

Suppose a nonregular worker is to be chosen at random from this population. Define the following events:

A: {The worker is 40 or over)

B: {The worker is a teenager and part-time]

C:{The worker is under 40 and either arubaito or dispatched)

D: [The worker is part-time]

a. Find the probability of each of the above events.

b. Find P(AnD) and P(AUD).

C. Describe in words the following events: AC , BC , and DC .

d. Find the probability of each of the events you described in part c.