Name_________________________ Class__________Date__________
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. (For numbers 4 and 5, use the formula!)
4.
5
P
3
5.
7
C
4
6. 6!
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 ways can you do the chores?
Perm/Combo__________ 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 12 students?
Perm/Combo__________ Answer__________
Use Pascal’s Triangle to expand each binomial.
9. ( x
 y )
3
10. ( 2 r
 q )
4
11. The probability of Joseph making a free throw is 0.6.
Find the probability that he will make exactly four out of the seven free throws in one game.
The following spinner is spun. State whether each event is mutually exclusive. Then find P(A or B).
12. A = an odd number
B = a multiple of 2
13. A
B
= a number > 3
= a multiple of 3
6 1
Mutually Exclusive? ______
Probability ________
5
4 3
2
Mutually Exclusive? ________
Probability _________

Name_________________________ Class__________Date__________
14. At a store, you buy 8 plums, 4 bananas, 6 apples, and 12 carrots. a) You pick out one item randomly to eat. Find the probability of each item being chosen. plums __________ bananas __________ apples __________ carrots __________ b) Find the probability that one food item chosen at random is a piece of fruit.
Use the results of the survey below to find each conditional probability.
How Many Pets to you have in your home?
0 Pets 1 Pet
Males
Females
15. P(male | 2 pets)
5
4
10
13
16. P(2 pets | male)
2 Pets
5
6
3+ Pets
2
2
17. P(0 pets | female)
18. Which of these is equal to 0.18 according to the tree diagram? Circle the correct answer.
.7
C
A
A . P(C | A)
C . P(D | C)
B . P(C and B)
D . P(A and D)
.6
.4
B
.3
.8
.2
D
C
D
Use the following set of values for Exercises 19 - 20.
{3, 2, 3, 4, 7, 5, 6, 8, 3, 8, 2}
19. Find the mean, median, and the mode(s) of the data set. Round answers to the nearest tenth, if necessary.
Mean _________ Median _________ Mode_______
20. Draw a box-and-whisker plot.

Name_________________________
Use the following set of values for Exercises 21 – 23 .
Class__________Date__________
{13, 11, 15, 9, 17, 13, 15, 28, 20, 14}
21. Find the range.
22. Find the values at the 40 th and 90 th percentiles.
40 th percentile __________ 90 th percentile ___________
23. Find the mean and the standard deviation. Round to the nearest tenth, if necessary. mean = ___________ standard deviation = ____________
24. A set of values has a mean of 34 and a standard deviation of 4. Find the z-score of the value of 26.
Find the sample proportion. Write it as a percent .
25. 34 out of the 786 pairs of shoes at the show store were defective.
Find the margin of error for each sample. (Round to nearest whole percent.)
Then find an interval that is likely to contain the true population proportion.
26. 18% of 350 students
27. Choose the pool that is the least biased. Circle the correct answer.
A . A student stands outside an expensive restaurant and asks customers whether they are for or against welfare.
B . A magazine for bird lovers asks subscribers how many cats they own.
C . A researcher asks students in Hawaii whether they own snowmobiles.
D . A researcher stands outside a grocery store and asks shoppers whether they spend more or less than $100/wk on groceries.
28. 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, all ten of the bicycles are rented out.
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. Find the number of students with scores in each interval.
29. between 72% and 82%
30. more than 92%