1. The U.S. Department of Labor has reported that 30% of the 2.1 million mathematical and computer scientists in the United States are women. If 3 individuals are randomly selected from this occupational group, and x 5 the number of females, determine P(x 5 0), P(x 5 1), P(x 5 2), and P(x 5 3). Source: Bureau of the Census, Statistical Abstract of the United States 2002, p. 381.
2. Alicia's schedule includes three Tuesday/Thursday courses in which each professor uses a single coin flip to decide whether to give a short quiz each class day. Alicia is active on the university's student advisory council, works two part-time jobs, and is helping to build a float for the upcoming homecoming parade. As a result of these activities and slightly inadequate planning on her part, she has had very little time to prepare for her Thursday classes being held tomorrow. What is the probability that Alicia will be "lucky" and have no surprise quizzes tomor- row? What is the probability that the worst will occur and she will have surprise quizzes in all three classes? What is the probability that she will escape with minimal damage and have a quiz in only one of the three classes?