1. A test consists of 5 true or false questions. To pass the test a student must answer at least 4 questions correctly. If the student randomly guesses on each question, what is the probability that the student will pass the test?
2. In a recent survey, 80% of the community favored building a police substation in their neighborhood. If 15 citizens are chosen, what is the probability that exactly 8 of them favor the building of the police substation?
3. According to government data, the probability that a woman between the ages of 25 and 29 was never married is 30%. In a random survey of 10 women in this age group, what is the probability that two or fewer were never married?