1

A game involves rolling a fair six-sided die. If you roll a number greater than 4, you win $20. If you roll a number less than or equal to 4, you lose $10. What is the expected value of playing this game?

A) 2

B) 1

C) 4

D) 0

2

In a study of a random sample of students' test scores, the mean score was 82, with a margin of error of 5. What can you conclude about the population mean test score?

A) It is less than 77

B) It is between 77 and 87

C) It is greater than 77

D) It is less than 77 or greater than 87

3

Spinner is divided into four equal sections labeled 1, 2, 3, and 4. If the spinner lands on: 1, you win $6. 2, you win $4. 3, you lose $5. 4, you win $2. What is the expected value of a single spin of the spinner?

A) $2.03

B) $1.09

C) $1.75

D) $1.51

4

Let’s say in a survey conducted among 500 students, the average score in a math test was found to be 75, with a margin of error of 5. What conclusion can be drawn about the average score of all students in the school?

A) It is between 70 and 80

B) It is less than 70

C) It is greater than 70

D) It is greater than 80

5

A lottery ticket costs $2. The prize structure is as follows: There is a 1 in 1,000,000 chance to win $1,000,000. There is a 1 in 10,000 chance to win $5,000. There is a 1 in 1,000 chance to win $100. There is a 1 in 100 chance to win $10. What is the expected value of purchasing a single lottery ticket?

A) $2.09

B) -$0.30

C) $1.46

D) $2.81

6

In a survey conducted among 200 employees at a company, it was discovered that 120 of them prefer flexible working hours. Given that the company has a total of 1,000 employees, what is the best estimate of the number of employees who prefer flexible working hours across the entire company?

A) 600

B) 550

C) 625

D) 575

7

In this card game, a standard deck of 52 playing cards is used. When you draw one card at random, the following outcomes apply: If you draw an ace, you win $20. If you draw a face card (king, queen, or jack), you win $10. For any other card, you lose $5. What is the expected value of drawing one card in this game?

A) $0.45

B) $0.23

C) $0.81

D) $0.38

8

In a survey conducted among 300 residents of a city, 90 participants indicated that they prefer tea over coffee. Given that the city’s total population is 15,000 residents, what is the best estimate of the number of residents who prefer tea over coffee throughout the entire city?

A) $4,700

B) $4,400

C) $4,500

D) $4,600

9

You flip a fair coin. If it lands on heads, you win $8; if it lands on tails, you lose $3. What is the expected value of playing this coin-flip game?

A) 4

B) 3

C) 2

D) 3

10

A survey was conducted among 80 members of a gym, and 64 of them indicated that they planned to participate in the upcoming fitness challenge. Given that the gym has a total membership of 400 members, what is the best estimate of the total number of gym members who are likely to participate in the upcoming fitness challenge?

A) 310

B) 315

C) 325

D) 320