1. A 2016 Gallup survey asked a random sample of 1023 American adults if they drink alcoholic beverages and, if they do, which type they consume most often. The survey found that, among those who do drink alcohol, 43%favor beer, 32% favor wine, 20% favor liquor, and the remaining expressed no par-ticular preference.21 Use these sample proportions to assign approximate probability values for the corresponding events.
(a) Give the sample space S and the probability model for the random event "type of alcoholic beverage favored."
(b) Obtain the probability that a randomly select American adult who drinks alcohol does not favor beer.
(c) Obtain the probability that a randomly select American adult who drinks alcohol favors either beer or wine.
2. Suppose a rapid test has a probability of probability of about 0.004 of producing a false-positive (that is, of falsely indicating the disease is present). If a clinic tests 200 people who are free of the disease, what is the chance that at least one false-positive will occur?