ANSWER:
A firm has 100 laborers, 20 salespersons, and 10 executives. If an employee is chosen from each of these categories, how many different sets of three employees are possible?
ANSWER: 100 x 20 x 10 = 20,000
Ten people are running an race. The 1^{st} place runner will receive a gold metal, the 2^{nd} place runner will receive a silver metal, and the 3^{rd} place runner will receive a bronze metal. How many possible outcomes are there for the race?
ANSWER:
The U.S. population by age is as follows. The data are in millions of people.
Age

Number (in millions)

19 and under

80.5

20 to 24

19.0

25 to 34

39.9

35 to 44

45.2

45 to 54

37.7

55 to 64

24.3

65 and over

35.0

Assume that a person will be randomly chosen from this population.
What is the probability the person is 20 to 24 years old?
ANSWER: P(20 to 24) = 6.75%
What is the probability the person is 20 to 34 years old?
ANSWER: P(20 to 34) = 20.92%
What is the probability the person is 45 years or older?
ANSWER: P(45 or Older) = 34.45%
What is the probability the person is not 24 or younger?
ANSWER: P(24 or Younger)^{C} = 64.67%
The U.S. Energy Department states that 63% of all U.S. households have ceiling fans. In addition, 31% of all U.S. households have an outdoor grill. Suppose 15% of all U.S. households have both a ceiling fan and an outdoor grill. A U.S. household is randomly selected. What is the probability that the household has a ceiling fan or an outdoor grill?
ANSWER: P(Ceiling fan or Outdoor grill) = 79%
A study by Hart Research Associates for the Nasdaq Stock Market revealed that 47% of all U.S. adults are stockholders. In addition, the study determined that 77% of all U.S. adult stockholders have some college education. Suppose 47% of all U.S. adults have some college education. A U.S. adult is randomly selected. What is the probability that the adult owns stock and has some college education?
ANSWER: P(SH and CE) = 36.19%
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively. A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." What is the probability that an employee that works in the finishing department is absent excessively? ”
ANSWER: P(A  F) = 70%
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