Classifying occupations. Choose an American worker at random and assign his or her occupation to one of the following classes. These classes are used in government employment data.

A Managerial and professional B Technical, sales, administrative support C Service occupations D Precision production, craft, and repair E Operators, fabricators, and laborers F Farming, forestry, and fishing The table below gives the probabilities that a randomly chosen worker falls into each of 12 sex-by-occupation classes:

Class A B C D E F Male 0.14 0.11 0.06 0.11 0.12 0.03 Female 0.09 0.20 0.08 0.01 0.04 0.01

(a) Verify that this is a legitimate assignment of probabilities to these outcomes.

(b) What is the probability that the worker is female?

(c) What is the probability that the worker is not engaged in farming, forestry, or fishing?

(d) Classes D and E include most mechanical and factory jobs.

What is the probability that the worker holds a job in one of these classes?

(e) What is the probability that the worker does not hold a job in Classes D or E?