Question 1(Multiple Choice Worth 7 points)(07.01)

In a city school of 900 students, 30% of the students are on the honor roll, 70% have a part-time job, and 25% are on the honor roll and have a part-time job. What is the probability (rounded to the nearest whole percent) that a randomly selected student is on the honor roll, given that the student has a part-time job?

18%

21%

43%

36%

Question 2(Multiple Choice Worth 7 points)(07.01)

A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 14% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 50 cans?

P(Both defective)= 7/50

P(Both defective) = 49/2500

P(Both defective) =3/175

P(Both defective) =7/25

Question 3(Multiple Choice Worth 7 points)(07.01)

Consider two events such that P(A) =1/3

P(B) =4/5 P(A B) =4/15

Are events A and B independent events?

Yes, they are independent because P(A) P(B) P(A B)

No, they are dependent because P(A) P(B) = P(A B)

Yes, they are independent because P(A) P(B) = P(A B)

No, they are dependent because P(A) P(B) P(A B)

Question 4(Multiple Choice Worth 7 points)(07.02)

A survey of 125 members of a local gym is conducted and the results displayed below show that, of the two flavors of a particular brand of vitamin water available, 39 members prefer passion fruit, 71 members prefer tropical grape, and 92 members would buy one or the other or both. Fill in the remainder of the two-way frequency table.

Passion fruit. Not Passionfruit. Total

Tropical group. 71

tropical group

(Not)

Total. 39. 125

What is the probability (rounded to the nearest whole percent) that a randomly selected gym member would buy passion fruit vitamin water but not tropical grape vitamin water?

54%

21%

17%

39%

Question 5(Multiple Choice Worth 7 points)(07.06)

A two-way frequency table is shown below that displays the relationship between television technology type and television size sold at a local retail outlet. Store managers took a sample of 90 people and recorded the following results:

Plasma TV LCD TV Projection TV Total

54 in 15 18 4

68 in 14 12 3

86 in. 6 13 5

Total90

The retail outlet is putting Plasma televisions on sale. Given this information, what percent (rounded to the nearest whole percent) of the warehouse should be stocked with 68-inch televisions?

14%

40%

16%

48%

Question 6(Multiple Choice Worth 7 points)(07.05)

Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that one of the cards is a face card (Jack, Queen, or King) and the other is a 9, and are these events independent?

4/221 no, they are dependent events

3/169 yes, they are independent events

1/24 yes, they are independent events

8/221 No, they are dependent events

Question 7(Multiple Choice Worth 7 points)(07.05)

A recent survey by the American Cancer Society has shown that the probability that someone is a smoker is P(S) = 0.39. It has also determined that the probability that someone has lung cancer, given that he or she is a smoker is P(LC|S) = 0.205. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S LC)?

0.03

0.08

0.53

0.07

Question 8(Multiple Choice Worth 7 points)(07.04)

Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 88 adults, the following data are collected:

Truck Car Total

Female 5 35

Male 27 21

Total.88

What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that she is a female? Are the events being female and buying a car independent?

88%; they are dependent

40%; they are dependent

63%; they are independent

35%; they are independent

Question 9(Multiple Choice Worth 7 points)(07.05)

On any particular Saturday evening, the probability that Jenna will go to the movies and go for coffee is 1/6. The probability that she will go for coffee, given that she has gone to the movies, is8/11. What is the probability that Jenna will go to the movies on any particular Saturday?

4/21

9/17

11/48

4/33

Question 10(Multiple Choice Worth 7 points)(07.04)

Complete the two-way frequency table below, which shows the relationship between a person's gender and whether he or she wears his or her favorite sports team's jersey to sporting events. From a sample of 70 people entering a sports venue, it is found that there are 26 females, 45 people wearing a team jersey, and 17 females not wearing a team jersey.

Team Jersey No Team Jersey Total

Female.17 26

Male

Total 45 70

What is the probability (rounded to the nearest whole percent) that a person entering a sports venue will be a male given that he or she is wearing a team jersey? Are the events being male and wearing a team jersey independent?

80%; they are independent

80%; they are not independent

82%; they are not independent

51%; they are independent

Question 11(Multiple Choice Worth 7 points)(07.02)

A two-way frequency table is shown below that displays the relationship between age and preferred vacation destination. We took a sample of 100 people and recorded the following results:

Disney World Las Vegas Alaska Cruise Total

10-25yrs 23 4 3 30

26-40yrs 8 21 5 34

41-55yrs11 12 13 36

Total 42 37 21 100

What is the probability (rounded to the nearest whole percent) that a randomly selected person is 26 to 40 years old or prefers vacationing in Las Vegas?

50%

71%

21%

57%

Question 13(Multiple Choice Worth 7 points)(07.05)

At an amusement park, the probability that a child eats a hot dog and drinks a soda pop is 0.47. The probability that a child eats a hot dog is 0.69, and the probability that a child drinks soda pop is 0.86. What is the probability (rounded to the nearest hundredth) that a child drinks soda pop given that the child has already eaten a hot dog?

0.55

0.68

0.40

0.32

Question 14(Essay Worth 4 points)(07.01)

Two cards are drawn from a standard deck of cards.

Part A:If they are drawn with replacement, what is the probability that both cards are 10s? Show your work. (1 point)

Part B:If they are drawn without replacement, what is the probability that the first card is a club and the second card is a diamond? Show your work. (1 point)

Part C:Which of the two scenarios in Part A or Part B represents dependent events? Show your work. (2 points)

Question 15(Essay Worth 5 points)(07.02)

The following table shows the relationship between students who enroll in advanced Algebra and Chemistry in a particular high school. From a sample of 40 students it is found that 29 are enrolled in Algebra, 11 are enrolled in Chemistry, and five are enrolled in both.

Algebra Not in Algebra Total

Chemistry. 511

Chemistry

(Not in)

Total 2940

Complete the rest of the two-way frequency table above.

Part A:How many students are enrolled in either Algebra or Chemistry? Explain your answer using complete sentences. (2 points)

Part B:If there are 2,000 students in this school, how many (rounded to the nearest whole student) are expected to be enrolled in just Chemistry this year? Explain (3 points)