Name_________________________
Class__________Date__________
Algebra 2 – Chapter 12 Test
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. 5P3
Formula/Work:
Answer:
5. 7C4
Formula/Work:
Answer:
6. 2  6!
Write it out:
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 )
10.
3
(r  3) 4
Name_________________________
Class__________Date__________
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 that he attempts 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.
6
1
Mutually Exclusive? ______
Mutually Exclusive? ________
5
2
Probability:
Probability:
4
14.
A = a number  3
B = a multiple of 3
3
At a store, you buy 8 plums, 4 bananas, 6 apples, and 12 carrots.
You randomly choose one item from what you bought. 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?
0 Pets
1 Pet
Males
5
10
Females
4
13
15. P(male | 2 pets)
16. P(2 pets and male)
2 Pets
5
6
3+ Pets
2
2
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%.
*DRAW THE COMPLETE NORMAL CURVE:
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 standard deviation of the data by hand: 87 21 90 43 54 23 123 110 90 44 50
21.
63 out of the 350 pairs of shoes tested at a factory outlet shoe 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 eight of the bicycles are rented out.