1. Only 27% of US. adults get enough leisure time exercise to achieve cardiovascular fitness. Choose 3 adults at random. Find the probability that a. All 3 get enough daily exercise b. At least 1 of the 3 gets enough exercise 2 In a pizza restaurant, 95% of the customers order pizza. If 65% of the customers order pizza and a salad, find the probability that a customer who orders pizza will also order a salad. 3. In a scientific study there are 8 guinea pigs, 5 of which are pregnant. If 3 are elected at random without replacement, find the probability that all are pregnant. 4. There are 2 major roads from city X to city Y and 4 major roads from city Y to city Z. How many different trips can be made from city X to city Z passing through city Y? 5. How many ways can 4 baseball players and 3 basketball players be selected from 12 baseball players and 9 basketball players? a. How many different tests can be made from a test bank of 20 questions if the test consists of 5 questions? 7. The table shows the results of a survey in which 146 families were asked if they own a computer and if they will be taking a summer vacation during the current year. Summer Vacation This Year -ltt-- Own a Yes 87 28 1 1 5 Computer Total 1 01 45 1 46 (a) Find the probability that a randomly selected famiiy is taking a summer vacation this year. (b) Find the probability that a randomly selected family is taking a summer vacation this year. given that they own a computer. (c) Are the events "owning a computer\" and \"taking a summer vacation this year" independent or dependent events? Explain. s. A recent study of 300 patients found that of 100 alcoholic patients, 87 had eievated cholesterol levels, and of 200 nonalcoholic patients, 43 had elevated cholesterol levels. If a patient is selected at random, nd the probability that the patient is the following. a. An alcoholic with elevated cholesterol level b. A nonalcoholic c. A non alcoholic with non elevated cholesterol level 9. Consider the experiment carried out by flipping a fair coin, then rolling a fair (six-sided) die. Draw a tree diagram for this experiment