AFM UNIT 1 TEST Review - Weebly

Name: ______________________ Class: _________________ Date: _________

ID: A

AFM UNIT 1 TEST Review

____ 1. A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices

are possible for a single serving of frozen yogurt with one topping?

a. 144

b. 72

c. 36

d. 665,280

____

2. Suppose Ruth Ann has 3 routes she can choose from to get from school to the library, and 5 routes from

the library to her home. How many routes are there from Ruth Ann's school to her home with a stop at

the library?

a. 9

b. 60

c. 15

d. 25

____ 3. In how many ways can 12 basketball players be listed in a program?

a. 665,280

b. 1

c. 479,001,600 d. 12

____ 4. Evaluate 9 P 4 . a. 9

b. 362,880

c. 126

d. 3,024

____ 5. Evaluate 7 C6 . a. 9

b. 1

c. 5,040

d. 7

____ 6. There are 8 people on the ballot for regional judges. Voters can vote for any 4. Voters can choose to

vote for 0? 1? 2? 3? or 4 judges. In how many different ways can a person vote?

a. 5

b. 56

c. 70

d. 163

____

7. Lynn and Dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of

tossing heads using Lynn and Dawn's results?

a. 20 11

b. 9 20

c. 11 20

d. 9 11

____ 8. A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. Find P(red or blue).

a. 2 3

b. 3 2

c. 5 8

d. 3 4

____ 9. On the following dartboard, the radius of the bulls-eye (area A) is 4 inches. The radius of each concentric circle is 4 inches more than the circle inside it. If a person throws randomly onto the dartboard, what is the probability that the dart will hit in area B?

3 a.

16

1 b.

2

1 c.

4

1

1 d.

16

Name: ______________________

ID: A

____ 10. Suppose Q and R are independent events. Find P(Q and R).

P(Q) = 0.39, P(R) = 0.85

a. 1.24

b. 0.3315

c. 0.46

d. 0.1794

____ 11. Two urns contain white balls and yellow balls. The first urn contains 9 white balls and 9 yellow balls and

the second urn contains 8 white balls and 3 yellow balls. A ball is drawn at random from each urn. What is

the probability that both balls are white?

a. 4 11

b. 17 29

1 c.

72

d. 17 198

Is the pair of events dependent or independent? Explain 12. You pick a number between 1000 and 5000. Then you flip a coin.

Suppose S and T are mutually exclusive events. Find P(S or T).

____ 13. P(S) = 20%, P(T) = 22%

a. 2%

b. 440%

c. 42%

d. 4.4%

14. Suppose you roll a standard number cube once. Are rolling a 4 and rolling a 3 mutually exclusive events? Explain.

____ 15. The contingency table shows the results of a survey of students in two math classes. Find P(more than 1 hour of TV | 6th period class). Round to the nearest thousandth.

Did You Watch More Than One Hour of TV Last Night?

Yes

No

3rd period class

6

10

6th period class

9

6

a. 0.375

b. 0.400

c. 0.600

d. 0.563

____ 16. Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the contingency table. Find the probability that the student preferred afternoon classes given he or she is a junior. Round to the nearest thousandth.

When Do You Prefer to Take Classes?

Freshman Sophomore

Morning

19

2

Afternoon

17

3

Evening

8

14

Junior 6 13 9

Senior 16 15 7

a. 0.571

b. 0.464

c. 0.342

d. 0.158

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Name: ______________________

ID: A

____ 17. The probability that a dessert sold at a certain cafe contains chocolate is 86%. The probability that a

dessert containing chocolate also contains nuts is 30%. Find the probability that a dessert chosen at

random contains nuts given that it contains chocolate. Round to the nearest tenth of a percent.

a. 36.6%

b. 28.7%

c. 34.9%

d. 56.0%

____ 18. An airline has 90% of its flights depart on schedule. It has 71% of its flights depart and arrive on

schedule. Find the probability that a flight that departs on schedule also arrives on schedule.

a. 0.39

b. 0.79

c. 0.09

d. 1.49

____ 19. A pharmaceutical company is testing the effectiveness of a new drug for asthma patients. The drug is given to 90 volunteers who suffer from asthma, while a placebo is given to 90 other volunteers who also suffer from asthma. After 3 weeks, the volunteers are asked if they noticed improvement in their asthma symptoms. The results of the survey are shown in the contingency table below. What is the probability that a volunteer reported noticeable improvement in symptoms given that he received the test drug?

Received the Drug Received the Placebo Totals

Improved

64 13 77

Did not Improve

26 77 103

Totals

90 90 180

a. 0.8312

b. 0.2524

c. 0.7111

d. 0.2889

____ 20. A pharmaceutical company is testing the effectiveness of a new drug for asthma patients. The drug is given to 100 volunteers who suffer from asthma, while a placebo is given to 100 other volunteers who also suffer from asthma. After 4 weeks, the volunteers are asked if they noticed improvement in their asthma symptoms. The results of the survey are shown in the contingency table below. What is the probability that a volunteer received the placebo given that he did not report a noticeable improvement in symptoms?

Received the Drug Received the Placebo Totals

Improved

68 12 80

Did not Improve

32 88 120

Totals

100 100 200

a. 0.2667

b. 0.7333

c. 0.32

d. 0.88

____ 21. A class of 24 students wants to choose 3 students at random to bring food for a class party. Any set of 3 students should have an equal chance of being chosen. Which of the following strategies will result in a fair decision?

a. Arrange the students in a line. Start at one end and have each student flip a coin. The first three students to flip heads can bring the food.

b. Assign a number to each student. Write the numbers on slips of paper and put them all in a hat. Randomly choose three slips of paper. The students with those three number can bring the food.

c. Ask the students to volunteer. The first three students to raise their hands can bring the food.

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Name: ______________________

ID: A

____ 22. Researchers randomly choose two groups from 15 volunteers. Over a period of 9 weeks, one group watches television before going to sleep, and the other does not. Volunteers wear monitoring devices while sleeping, and researchers record dream activity. Which type of study method is described in each situation?

a. controlled experiment b. observational study

c. survey

____ 23. A survey of high school juniors found that 82% of students plan on attending college. If you pick three

students at random, what is the probability that at least two plan on attending college? Round to the

nearest percent.

a. 91%

b. 9%

c. 45%

d. 36%

____ 24. According to one study, 61% of the population swallow at least one spider per year in their sleep. Based

on this study, what is the probability that exactly 7 of 10 randomly selected people have swallowed at

least one spider in their sleep in the last year?

a. 70%

c. 1%

b. 22%

d. 34%

Use the Binomial Theorem to find the binomial expansion of the expression.

____ 25. (d + 3)7

a. d 7 + 21d 6 + 189d 5 + 945d 4 + 2835d 3 + 5103d 2 + 5103d + 2187 b. d 7 - 7d 6 + 21d 5 - 35d 4 + 35d 3 - 20d 2 + 7d - 1 c. d 7 + 7d 6 + 21d 5 + 35d 4 + 35d 3 + 20d 2 + 7d + 1 d. d 7 - 21d 6 + 189d 5 - 945d 4 + 2835d 3 - 5103d 2 + 5103d - 2187

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