3 Chapter Quiz 184 CHAPTER 3 Probability Take this quiz as you would take a quiz in class. After you are done, check your work against the answers given in the back of the book. 1. The access code for a warehouse’s security system consists of six digits. The first digit cannot be 0 and the last digit must be even. How many access codes are possible? 2. The table shows the numbers (in thousands) of earned degrees by level in two different fields, conferred in the United States in a recent year. (Source: U.S. National Center for Education Statistics) Field Natural sciences/ mathematics Computer science/ engineering Total Level of degree Bachelor’s 175.5 220.3 395.8 Master’s 34.8 105.4 140.2 Doctoral 16.4 13.0 29.4 Total 226.7 338.7 565.4 A person who earned a degree in the year is randomly selected. Find the probability that the degree earned by the person is a (a) bachelor’s degree. (b) bachelor’s degree, given that the degree is in computer science/engineering. (c) bachelor’s degree, given that the degree is not in computer science/ engineering. (d) bachelor’s degree or a master’s degree. (e) doctorate, given that the degree is in computer science/engineering. (f) master’s degree or the degree is in natural sciences/mathematics. (g) bachelor’s degree and the degree is in natural sciences/mathematics. (h) degree in computer science/engineering, given that the person earned a bachelor’s degree. 3. Which event(s) in Exercise 2 can be considered unusual? Explain. 4. Determine whether the events are mutually exclusive. Then determine whether the events are independent or dependent. Explain your reasoning. Event A: A bowler having the highest game in a 40-game tournament Event B: Losing the bowling tournament 5. From a pool of 40 club members, the offices of president, vice president, secretary, and treasurer will be filled. In how many different ways can the offices be filled? 6. A shipment of 250 netbooks contains 3 defective units. Determine how many ways a vending company can buy three of these units and receive (a) no defective units. (b) all defective units. (c) at least one good unit. 7. In Exercise 6, find the probability of the vending company receiving (a) no defective units. (b) all defective units. (c) at least one good unit.
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