Name ______________________________________________________________
Algebra 2 – Chapter 12 Practice Test
Suppose you select a number at random from the sample space {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}. Find each probability.
1.
P(less than 7)
2. P(multiple of 3)
3. P(odd or prime)
Evaluate each expression.
4. 3(4!)
5.
4
P3
6.
5
P2  5 C3
Indicate whether each situation involves a combination or a permutation. Then solve.
7. How many ways are there to select five actors from a troupe of nine to improvise a scene?
8.
You are looking for a new apartment. There are five apartments available. In how many ways can you inspect the
apartments?
Use the Binomial Theorem to expand each binomial.
9.
11.
( x  z) 5
10.
( x  2 y) 3
A weighted coin has P(heads) = 0.4. The coin is tossed seven times. Find the probability of getting exactly six
heads.
Two standard number cubes are tossed. State whether the events are mutually exclusive. Then find the probability.
12. P(sum is twelve or both are odd)
13. P(numbers are equal or the sum is a multiple of 3)
14. Use the results in the table below for the Rock-Paper-Scissors game.
Player 1
Player 2
a.
S
P
P
S
R
S
R
P
P
S
P
R
P
R
P
P
S
P
R
R
S
S
P
R
S
P
R
P
Make a frequency table for the winner: Player 1, Player 2, or tie.
(NOTE: paper beats rock, rock beats scissors, scissors beat paper)
Winner
b.
P
R
Freq
Find P(Player 2 wins).
Use the frequency table below for Exercises 15 and 16.
Birthday Months of Respondents to a Survey
Month J F M A M J J A S O N
Male
0 1 2
1 1
3 2 0 1 1 0
Female 0 1 0
1 0
2 1 3 1 0 4
15.
Find P(Birthday in August | Female Respondent).
D
2
1
16.
Find P(Male Respondent | Birthday in June).
Use these survey results for Exercises 17 and 18.
 Of all respondents, 20% have 0 siblings, 60% have 1 sibling and 20% have 2 or more siblings.
 Of the respondents with 0 siblings, 90% have their own room.
 Of the respondents with 1 sibling, 20% do not have their own room.
 Of the respondents with 2 or more siblings, 50% have their own room.
17. Make a tree diagram that reflects the results of the survey.
18.
Find P(share room | 1 sibling).
19. Find the mean, median, and mode for this set of values: 8, 9, 11, 12, 13 ,15, 16, 18, 20.
20. Make a box-and-whisker plot for this set of values: 36, 36, 48, 65, 75, 82 ,92, 101.
21. 100, 98, 101, 100, 102, 97, 100
a.
22.
23.
Find the mean
b.
Find the range
c.
Find the standard deviation
Of 50 people who rented clubs at a golf course, 38 were right-handed.
a.
Find the sample proportion as a percent.
b.
Find the margin of error.
c.
Find an interval likely to contain the true population proportion.
A newspaper wants to take a poll about which candidate voters prefer for President. Identify the bias in the
sampling method.
The newspaper interviews people at a political debate.
24. At a high school, 30% of the students buy class rings. You select five students at random.
Find P(exactly two buy rings)
P(at least two buy rings).
25. A set of data has a normal distribution with a mean of 29 and a standard deviation of 4. Find the percent of data
within each interval.
a. from 25 to 33
b. from 21 to 25
c. greater than 29
26.
Find the 30th percentile and the 60th percentile of the set of values.
21, 52, 34, 12, 48, 22, 61, 45, 41, 50
27. A set of values has a mean of 67 and a standard deviation of 8. Find the z-score of the value of 70.
11. about 1.7%
12. Mutually exclusive; 5/18
13. Not Mutually exclusive; 4/9
14
a)
Winner
Player1
Player2
Ties
Total
b) P(Player 2 wins) = 4/15
15. 3/14
16. 3/5
21.
22.
23.
24.
25.
26.
27.
Freq
8
4
3
15
a) 99.71
b) 5
c) 1.578
a) 76%
b) +/- 14%
c) 62% to 90%
a) bias toward active voters b) bias toward voters with listed numbers
P(exactly 2 buy rings) = .309
P(at least 2 buy rings) = .472
a) 68%
b) 13.5%
c) 50%
30th = 34
60th = 48
.375