Name_________________________ Class__________Date__________ Algebra 2 – Chapter 12 Test

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10. ( r

3 )

4

Name_________________________

Algebra 2 – Chapter 12 Test

Class__________Date__________

Directions: Show all work (BE TRUE TO THE FORMULAS!) and reasoning to receive full credit.

Suppose a number is chosen at random from the sample space {5, 7, 9, 11, 13, 15, 17}. Find each probability.

1.

P (less than 13) 2. P (odd) 3. P(prime or multiple of 5)

Calculate the following.

4.

5

P

3

Formula/Work:

5.

7

C

4

6. 6!

Formula/Work:

Write it out: Answer:

Answer:

Answer:

Indicate whether each situation involves a combination or a permutation. Then solve.

7. You must complete the following six chores: take out the trash, wash the dishes, vacuum the carpet, clean your room, make

your bed, feed the fish. In how many different orders can you do the chores?

P or C? __________ Work and answer:

8. Groups of five students must be formed to work on a project. In how many different ways can a group of five be chosen from

a class of twelve students?

P or C? __________ Work and answer:

Use Binomial Theorem or Pascal’s Triangle to expand each binomial.

9. ( x

2 y )

3

Name_________________________

11. The probability of Joseph making a free throw is 0.6.

Class__________Date__________

Find the probability that he will make exactly four out of the seven free throws in one game.

A spinner is spun. State whether the events are mutually exclusive. Then find P(A or B).

12. A = an odd number

B = a multiple of 2

13. A = a number

3

B = a multiple of 3

6 1

Mutually Exclusive? ______

5 2

Mutually Exclusive? ________

Probability: Probability:

4 3

14. At a store, you buy 8 plums, 4 bananas, 6 apples, and 12 carrots.

You randomly choose one piece of fruit. Find the probabilities: a) P(plum or banana) b) P(not apple) c) P(fruit)

Use the results of the survey below to find each probability.

How Many Pets to you have in your home?

Males

0 Pets

5

1 Pet

10

2 Pets

5

3+ Pets

2

Females

15. P(male | 2 pets)

4 13 6 2

16. P(2 pets and male) 17. P(0 pets | female)

A class of 200 students takes an exam. The students’ scores are normally distributed with a mean of 72% and a standard deviation of 10%.

18. Find the number of students with scores between 72% and 82%

19. Find the percent of students who scored a 62% or higher

Name_________________________ Class__________Date__________

20. Find the mean and the standard deviation of the data by hand ( hint: make your chart) .

13, 11, 15, 8

Mean: ___________

Standard Deviation ____________

21. 63 out of the350 pairs of shoes at the store were defective. a. Write the sample proportion (a fraction). Then find the percent b. Find the margin of error for the sample. c. Then find an interval that is likely to contain the true population proportion.

22. A bicycle-rental store has ten bicycles available for rent. On an average day, 60% of the bicycles are rented out. Round your

answers to the nearest whole percent. a . Find the probability that on one day, only four of the ten bicycles are rented out. b . Find the probability that on one day, at least nine of the bicycles are rented out.

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