Winter 2014 FORM A
Name Last:_________________ First: _______________
Exam 1: Chapters 1, 2 & 3
Class Time:________________________
Directions:
 Print your NAME and CLASS TIME on THIS EXAM
 Print your NAME and CLASS TIME on your SCANTRON.
 Write FORM A on your SCANTRON.

Turn your cell phone OFF. Any noise from a cell phone will signal that your exam is over.




Each question has exactly one BEST answer. There are 21 questions.
You may write on this exam. There is no scratch paper allowed.
Each question is worth 5 points for a total of 105 points.
If you have no note page, you must write NO NOTES on your SCANTRON.
Put your SCANTRON and PAGE of NOTES inside your EXAM. Before you start packing up your
things, turn in your EXAM and SCANTRON. Then go back to your desk to pack up your materials.
When your exam is returned, you will get back all your materials.


FAILURE TO FOLLOW ALL INSTRUCTIONS COULD COST YOU 5 POINTS!
Questions 1 – 4 refer to the following:
A cardiologist is interested in the average time from diagnosis with metabolic syndrome to the elimination of
one of the symptoms in her patients.
1. The cardiologist randomly selects one of her patients with metabolic syndrome and then selects every 5th
patient with metabolic syndrome for a total of 30 patients. The type of sampling is
A. systematic
B. simple random
C. stratified
D. cluster
2. She groups the patients with metabolic syndrome by age at time of diagnosis and randomly selects 4 from
each group. The type of sampling is
A. simple random
B. stratified
C. systematic
D. cluster
3. The population is
A.
B.
C.
D.
All people with metabolic syndrome..
All of the cardiologist’s patients diagnosed with metabolic syndrome in the sample
All of the cardiologist’s patients.
All of the cardiologist’s patients diagnosed with metabolic syndrome.
4. The variable is
A.
B.
C.
D.
the number of people with metabolic syndrome.
the population average time to eliminate one symptom after diagnosis.
time for a patient to eliminate one symptom after diagnosis.
the sample average time for people to eliminate one symptom after diagnosis.
Questions 5 – 6 refer to the following box plots, all lined up on the same number line.
I
II
III
5. Which of the box plots represents data with the smallest standard deviation?
A. I
B. II
C. III
D. Unable to determine
6. Which of the box plots represents data with the middle fifty percent of the data the most spread out?
A. I
B. II
C. III
D. Unable to determine
Questions 7 – 9 use the following table
The following table shows a random sample of 55 backpackers interviewed at a High Sierra trail junction.
x, number of days
on the trail so far
this trip
0
1
2
3
4
5 or more
frequency
relative frequency
4
4/55
18
9
8
6
cumulative
relative
frequency
32/55
41/55
49/55
55/55
6/55
7. Find the 30th percentile.
A. 3.5
B. 3
C. 2
D. 2.5
8. What fraction of number of days on the trail so far is 1 or 3?
A. 4/55
B. 9/55
C. 10/55
D. 19/55
9. What fraction of number of days on the trail so far is at least 2 days?
A. 14/55
B. 41/55
C. 18/55
D. 32/55
Questions 10 - 11 refer to the following:
The probability of having a Cesarean section to deliver a low-risk birth at a local for-profit hospital is 0.19.
The probability of having a Cesarean section to deliver a low-risk birth at a local non-profit hospital is 0.16.
(Source: San Jose Mercury News, 9/12/2010)
Let C = having a Cesarean section for all local low-risk births.
Let F = giving birth at a for-profit hospital
Let N = giving birth at a non-profit hospital
10. Which of the following statements is TRUE?
A.
B.
C.
D.
C and the hospital type (for-profit or non-profit) are mutually exclusive events.
C is dependent upon the hospital type (for-profit or non-profit).
F and C are BOTH mutually exclusive AND dependent events.
None of the above statements is true.
11. To find P(N and C), what single probability is still needed?
A. P(C)
B. P(N|C)
C. P(C|N)
D. P(N)
Questions 12 - 14 refer to the following:
The table below shows the number of Olympic medals won by the three countries with the most medals during the 2012
Summer Olympics in London, UK.
Country
Gold
46
38
29
24
137
USA
China
Great Britain
Russian Federation
TOTAL
Type of Medal
Silver
Bronze
29
29
27
23
17
19
26
32
99
103
TOTAL
104
88
65
82
339
Suppose that one medal was randomly selected from the 339 medals.
12. Find the probability that the medal selected was silver AND was won by Great Britain.
A. 17/339
B. 17/99
C. 17/65
D. 65/339
13. Find the probability that the medal selected was won by USA, GIVEN that it was a gold medal.
A.
104/339
B. 36/104
C. 104/137
D. 46/137
14. Find the probability that the medal selected was bronze medal OR was won by China.
A. 191/339
B. 168/339
C. 88/339
D. 23/103
15. According to Approaching Democracy, by Larry Berman and Bruce Murphy, of the countries in existence in 2006,
46% were considered free countries and 24% had Muslim majorities. Of the countries with Muslim majorities, 6.5% were
considered free countries. Find the probability that a randomly chosen country is a free country and has a Muslim
majority.
A. 0.1104
B. 0.0299
C. 0.1150
D. 0.0156
Question 16 – 17 refer to the following:
130 people were asked the number of books they had borrowed from the local library last month. The results are given in
the following graph:
Frequency
40
30
20
15
15
10
0
1
2
3
4
5
Number of borrowed books
16. Find the interquartile range of the number of books borrowed last month.
A. 5
B. 2
C. 3
D. 4
17. Find the probability that a randomly selected person borrowed at most 3 books last month.
A. 0.8077
B. 0.4231
C. 0.5769
D. 0.1923
18. A survey has shown 52% of women in a certain community work outside the home. Of these working women , 64%
are married, while 86% of the women who do not work outside the home are married. What is the probability that a
woman randomly chosen from this community is married? (Hint: Sketching a tree diagram might be helpful.)
A. 0.5000
B. 0. 2544
C. 0. 7456
D. 0.4000
19. A study was done last spring at De Anza College to determine the length of time on-campus Math 10 students spend
outside of class doing work for Math 10. “Length of time” is what kind of data?
A. qualitative
B. quantitative discrete
C. quantitative continuous
D. qualitative discrete
B. counted
C. measured
D. Hard to come by
20. Quantitative discrete data is
A. categorical
21. Below are the results of the first exam for three students in three different courses.
Student #
Score
Class Average Grade
Student 1
Student 2
Student 3
82
84
91
75
75
93
Class Average Standard
Deviation
7
14
1
Which student had the worst score when compared to his/her class?
A. Student 1
B. Student 2
C. Student 3
D. None did better than the other
when compared to his/her class
Winter 2014 FORM B
Name Last:_________________ First: _______________
Exam 1: Chapters 1, 2 & 3
Class Time:________________________
Directions:
 Print your NAME and CLASS TIME on THIS EXAM
 Print your NAME and CLASS TIME on your SCANTRON.
 Write FORM B on your SCANTRON.

Turn your cell phone OFF. Any noise from a cell phone will signal that your exam is over.




Each question has exactly one BEST answer. There are 21 questions.
You may write on this exam. There is no scratch paper allowed.
Each question is worth 5 points for a total of 105 points.
If you have no note page, you must write NO NOTES on your SCANTRON.
Put your SCANTRON and PAGE of NOTES inside your EXAM. Before you start packing up your
things, turn in your EXAM and SCANTRON. Then go back to your desk to pack up your materials.
When your exam is returned, you will get back all your materials.

FAILURE TO FOLLOW ALL INSTRUCTIONS COULD COST YOU 5 POINTS!
1. A survey has shown 52% of women in a certain community work outside the home. Of these working women , 64%
are married, while 86% of the women who do not work outside the home are married. What is the probability that a
woman randomly chosen from this community is married? (Hint: Sketching a tree diagram might be helpful.)
A. 0.5000
B. 0. 2544
C. 0. 7456
D. 0.4000
2. A study was done last spring at De Anza College to determine the length of time on-campus Math 10 students spend
outside of class doing work for Math 10. “Length of time” is what kind of data?
A. qualitative
B. quantitative discrete
C. quantitative continuous
D. qualitative discrete
B. counted
C. measured
D. Hard to come by
3. Quantitative discrete data is
A. categorical
4. Below are the results of the first exam for three students in three different courses.
Student #
Score
Class Average Grade
Student 1
Student 2
Student 3
82
84
91
75
75
93
Class Average Standard
Deviation
7
14
1
Which student had the worst score when compared to his/her class?
A. Student 1
B. Student 2
C. Student 3
D. None did better than the other
when compared to his/her class
5. According to Approaching Democracy, by Larry Berman and Bruce Murphy, of the countries in existence in 2006,
46% were considered free countries and 24% had Muslim majorities. Of the countries with Muslim majorities, 6.5% were
considered free countries. Find the probability that a randomly chosen country is a free country and has a Muslim
majority.
A. 0.1104
B. 0.0299
C. 0.1150
D. 0.0156
Question 6 – 7 refer to the following:
130 people were asked the number of books they had borrowed from the local library last month. The results are given in
the following graph:
Frequency
40
30
20
15
15
10
0
1
2
3
4
5
Number of borrowed books
6. Find the interquartile range of the number of books borrowed last month.
A. 5
B. 2
C. 3
D. 4
7. Find the probability that a randomly selected person borrowed at most 3 books last month.
A. 0.8077
B. 0.4231
C. 0.5769
D. 0.1923
Questions 8 - 10 refer to the following:
The table below shows the number of Olympic medals won by the three countries with the most medals during the 2012
Summer Olympics in London, UK.
Type of Medal
Gold
Silver
Bronze
USA
46
29
29
China
38
27
23
Great Britain
29
17
19
Russian Federation
24
26
32
TOTAL
137
99
103
Suppose that one medal was randomly selected from the 339 medals.
Country
TOTAL
104
88
65
82
339
8. Find the probability that the medal selected was silver AND was won by Great Britain.
A. 17/339
B. 17/99
C. 17/65
D. 65/339
9. Find the probability that the medal selected was won by USA, GIVEN that it was a gold medal.
A.
104/339
B. 36/104
C. 104/137
D. 46/137
10. Find the probability that the medal selected was bronze medal OR was won by China.
A. 191/339
B. 168/339
C. 88/339
D. 23/103
Questions 11 – 12 refer to the following box plots, all lined up on the same number line.
I
II
III
11. Which of the box plots represents data with the smallest standard deviation?
A. I
B. II
C. III
D. Unable to determine
12. Which of the box plots represents data with the middle fifty percent of the data the most spread out?
A. I
B. II
C. III
D. Unable to determine
Questions 13 – 15 use the following table
The following table shows a random sample of 55 backpackers interviewed at a High Sierra trail junction.
x, number of days
on the trail so far
this trip
0
1
2
3
4
5 or more
frequency
relative frequency
4
4/55
18
9
8
6
cumulative
relative
frequency
32/55
41/55
49/55
55/55
6/55
13. Find the 30th percentile.
A. 3.5
B. 3
C. 2
D. 2.5
14. What fraction of number of days on the trail so far is 1 or 3?
A. 4/55
B. 9/55
C. 10/55
D. 19/55
15. What fraction of number of days on the trail so far is at least 2 days?
A. 14/55
B. 41/55
C. 18/55
D. 32/55
Questions 16 – 19 refer to the following:
A cardiologist is interested in the average time from diagnosis with metabolic syndrome to the elimination of
one of the symptoms in her patients.
16. The cardiologist randomly selects one of her patients with metabolic syndrome and then selects every 5th
patient with metabolic syndrome for a total of 30 patients. The type of sampling is
A. systematic
B. simple random
C. stratified
D. cluster
17. She groups the patients with metabolic syndrome by age at time of diagnosis and randomly selects 4 from
each group. The type of sampling is
A. simple random
B. stratified
C. systematic
D. cluster
18. The population is
A.
B.
C.
D.
All people with metabolic syndrome..
All of the cardiologist’s patients diagnosed with metabolic syndrome in the sample
All of the cardiologist’s patients.
All of the cardiologist’s patients diagnosed with metabolic syndrome.
19. The variable is
A.
B.
C.
D.
the number of people with metabolic syndrome.
the population average time to eliminate one symptom after diagnosis.
time for a patient to eliminate one symptom after diagnosis.
the sample average time for people to eliminate one symptom after diagnosis.
Questions 20 - 21 refer to the following:
The probability of having a Cesarean section to deliver a low-risk birth at a local for-profit hospital is 0.19.
The probability of having a Cesarean section to deliver a low-risk birth at a local non-profit hospital is 0.16.
(Source: San Jose Mercury News, 9/12/2010)
Let C = having a Cesarean section for all local low-risk births.
Let F = giving birth at a for-profit hospital
Let N = giving birth at a non-profit hospital
20. Which of the following statements is TRUE?
A.
B.
C.
D.
C and the hospital type (for-profit or non-profit) are mutually exclusive events.
C is dependent upon the hospital type (for-profit or non-profit).
F and C are BOTH mutually exclusive AND dependent events.
None of the above statements is true.
21. To find P(N and C), what single probability is still needed?
A. P(C)
B. P(N|C)
C. P(C|N)
D. P(N)
Answers
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
FORM A
A
B
D
C
B
A
C
D
B
B
D
A
D
B
D
C
A
C
C
B
C
FORM B
C
C
B
C
D
C
A
A
D
B
B
A
C
D
B
A
B
D
C
B
D