1. According to government data, 15% of employed women have never been married. Take a random sample of employed women and observe their marital status. a) Is X normal, binomial, or geometric? b) If 8 employed women are selected at random, what is the probability that 2 or fewer have never been married? c) If 8 employed women are selected at random, what are the mean and standard deviation?

2. An SRS of 400 American adults is asked, "What do you think is the most serious problem facing our schools?" Suppose that in fact 30% of all adults would answer drugs if asked this question. The proportion p-hat of the sample who answer drugs will vary in repeated sampling. In fact, you can assign probabilities to values of p-hat using the normal density curve with mean 0.3 and standard deviation 0.023. Use this density curve to find the probabilities of the following events: a) At least half of the sample believes that drugs are the schools' most serious problem. b) Less than 25% of the sample believes that drugs are the most serious problem. c) The sample proportion is between 0.25 and 0.35.

3. A coin is unbalanced such that it comes up tails 55% of the time. a) What is the probability that you don't flip a head until the fourth flip? b) What is the probability that you don't flip a tail until the fourth flip? c) How many tosses would it take, on average, to flip a head? d) How many tosses would it take, on average, to flip a tail?