Name:__________________________________________
Math 101 – Fall 2014 Final Exam – (Form A)
All Sections
Make sure that your scantron matches the color of this page. Read ALL directions carefully before beginning the exam.
On your scantron, encode your name as specified on the scantron, encode your Dawgtag as your “Identification
Number,” and encode your Section # in the column ”P” or “OP” under the area labeled “Special Codes.”
Instructor Lowndes:
9:00 on Tues. is sec. 1;
10:00 on Tues. is sec. 4;
8:00 on Tues. is sec. 7
9:00 on Wed. is sec. 2;
10:00 on Wed. is sec. 5;
9:00 on Thurs. is sec. 3;
10:00 on Thurs. is sec. 6;
Instructor Caronongan:
11:00 on Tues. is Sec 8;
12:00 on Tues. is Sec. 11;
1:00 on Tues. is Sec. 14
11:00 on Wed. is Sec. 9;
12:00 on Wed. is Sec. 12;
11:00 on Thurs. is Sec. 10
12:00 on Thurs. is Sec. 13
Instructor Nagrodski:
1:00 on Wed. is Sec. 15
2:00 on Thurs. is Sec. 18;
3:00 on Thurs. is Sec. 21
2:00 on Tues. is Sec. 16;
3:00 on Tues. is Sec. 19;
2:00 on Wed. is Sec. 17;
3:00 on Wed. is Sec. 20
Success Course (M Th at 4:00): Put 103 in Columns NOP under Special Code
The last page of this exam is the formula sheet and z-score table. You may tear this page out of the exam for your
reference.
1) The first nine digits of an ISBN is 3-231-39705. What is the correct check digit?
A) 7
B) 9
C) 4
D) 3
E) None of these
2) Diners at the Rive Gauche restaurant answer a questionnaire about their favorite course in a French meal.
The choices are: Appetizer (A), Entree (E), and Dessert (D). Their votes are summarized in the following table..
How many points does the Dessert (D) receive using the Borda Count Method? Last place = 1 pt, etc.
Number of votes 18 12 8 6
First choice
A E D E
nd
2 choice
E D E A
rd
3 choice
D A A D
A) 104
B) 7
C) 44
D) 72
E) None of these
Math 101 Final Exam Fall 2014 – blue - page1
3) The number of edges in a tree with 14 vertices is:
A) 14!
B)
14
C) 13!
D) 13
E) none of these
4) The number of Hamiltonian Circuits in a complete graph of 8 vertices is:
A) 8
B) 5040
C) 40320
D) 720
E) none of these
5) Assume you have a graph with vertex set V = {A, B, C, D, E} and edge set
E = {CD, CB, DA, DB, EA, AA}. The degree of vertex B is
A) 0
B) 1
C) 3
D) 4
E) none of these
6) Suppose the check matrix for matrix code is:
1
0
1
1
0
[0
0
1
0
0
1
0
1
1
1
0
0
1]
Decode the word (find the message): 101011 if it is a codeword or if it differs from a codeword by a single
digit.
A) 011
B) 101
C) 001
D) 111
E) 010
7) Find the total weight of the minimum spanning tree using Kruskal’s Algorithm.
A) 68.
B) 27.
C) 66.
D) 24.
E) none of these
Math 101 Final Exam Fall 2014 – blue - page2
8)
Represent the following with a graph.
A)
B)
C)
D)
E) None of these
9) The random variable X is the number of children under 18 in families in a particular town. Use the following
probability distribution table to find the expected number of children per family (expected value).
X
P(x)
0
.3273
1
.2684
2
.1161
3
.2309
4
.0432
5
.0141
A) 1.6645
B) 1.7639
C) 1
D) 1.4366
E) none of these
10) A principal of $800 is borrowed at simple interest rate of 2.66% for a period of 9 months. Find the total
amount due at the at the end of the 9 months. Round answer to the nearest cent.
A) $ 911.49
B) $ 821.53
C) $ 815.96
D) $ 991.52
E) $15.96
Math 101 Final Exam Fall 2014 – blue - page3
11)
Mary has a bag of M&Ms. Her bag has 14 brown, 6 green, 5 yellow, and 7 orange. She draws one M&M at
random, eats it, and then draws another. Find the probability that the first is yellow and the 2nd is green.
A) 7/145
B) 11/32
C) 15/496
D) 15/512
E) None of these
12) Four students are running for president of their residence hall: Debra (D), Farah (F), Jorge (J), and Hillary
(H). The votes of their fellow students are summarized in the following preference table.
Number of votes 22 20 13 9 4
First choice
F D H D J
nd
2 choice
D H D H H
rd
3 choice
J
J
J
F F
th
4 Choice
H F F J D
Who is declared the new president using the plurality with elimination method?
A) Debra
B) Farah
C) Jorge
D) Hillary
E) Cannot be determined
13) An optimal Eulerization of this graph can be obtained by duplicating how many edges?
A) 5
B) 4
C) 3
D) 2
E) none of these
14) Mendel found that flower color in certain pea plants obeyed this scheme: Pure red crossed with pure white
produces red. When pure red (RR) and pure white (rr) parents are crossed, the resulting Rr combination (one
of each gene) produces second generation offspring with red flowers, since red is dominant. Suppose that two
of these second generation Rr flowers are crossed. What is the probability that the resulting plant will have
white flowers?
A) 0.75
B) 1
C) 0.75
D) 0.25
E) None of these
Math 101 Final Exam Fall 2014 – blue - page4
15) Determine the effective annual rate for 6.5% compounded monthly. Round to nearest tenth of a percent.
A) 6.6%
B) 6.7%
C) 6.5%
D) 6.4%
E) 6.8%
16) The table shows the number of college students (out of 184) who prefer a given pizza topping.
Senior
Toppings Freshman Sophomore Junior
Cheese
12
14
19
25
Sausage
20
18
8
16
Veggie
10
8
20
14
Find the probability that a randomly selected student prefers sausage pizza.
A) 10/31
B) 62
C) 35/92
D) 31/92
E) none of these
17) How much should be deposited today into an account that earns 2.5% compounded quarterly so that it
will accumulate to $5,000 in ten years? (round to the nearest cent)
A) $ 3897.03
B) $ 4000.00
C) $ 4012.13
D) $ 6415.13
E) $3895.17
18) Which of the following describes a study in which the participants do not know which treatment they are receiving
but the people administering the treatment do know?
A)
B)
C)
D)
E)
Observational study
Single-blind experiment
Double-blind experiment
Case-control study
None of these
19) The table shows the number of college students (out of 184) who prefer a given pizza topping.
Senior
Toppings Freshman Sophomore Junior
Cheese
12
14
19
25
Sausage
20
18
8
16
Veggie
10
8
20
14
Find the probability that a randomly selected student is a junior, given the student prefers cheese pizza. Round to the
nearest hundredth.
A) 0.10
B) 0.27
C) 0.40
D) 0.21
E) none of these
Math 101 Final Exam Fall 2014 – blue - page5
20) A graph has an Euler path if
A)
B)
C)
D)
E)
it is connected and has four even vertices.
it is connected and has only odd vertices.
it is connected and has exactly one odd vertex.
it is connected and has exactly two odd vertices.
none of these.
21) A bag contains 14 red marbles, 8 blue marbles, and 7 green marble. What is the probability that a randomly selected
marble is red or blue?
A) 22
B) 22/29
C)
12/29
D) 7/29
E) none of these
22) Identify which of these types of sampling is used: simple random, stratified, systematic, or convenience.
An evaluator divides the kids into age groups: 1st-2nd grade, 3rd-4th grade, 5th-6th grade before a sample is
drawn.
A) Convenience
B) Simple random C) Stratified
D) Systematic
23) Suppose a charitable organization decides to raise money by raffling a trip worth $900. If 3,000 tickets are
sold at $2.00 each, find the expected net winnings for a person who buys 1 ticket. Round to the nearest cent.
A) -$0.98
B) -$1.26
C) -$1.70
D) -$1.81
E) None of these
24)
Give the odds that the spinner shown would land on red:
A) 3:8
B) 3:5
C) 5:3
25)
A
Vertex D is adjacent to the following:
A)
B)
C)
D)
E)
F, E only
A, B, C, E, F
A, F, E only
A only
None of these
E) None of these
10
2
12
D) 1:4
D
3
7
5
6
E
F
C
4
B
11
Math 101 Final Exam Fall 2014 – blue - page6
26) What is the cost of the Hamiltonian circuit obtained by using the nearest-neighbor algorithm starting at
vertex C?
A
A)
B)
C)
D)
E)
60
54
37
66
none of these
10
2
12
D
3
7
5
6
E
F
C
4
B
11
27) Suppose $1000 is deposited at the end of each quarter for five years into an account that pays 2.9%
compounded quarterly. How much will Jevon have accumulated in the account at the end of five years?
(Round to the nearest cent)
A) $ 1,155.44
B) $ 21,439.31
C) $ 20,000
D) $ 22,340.02
E) $ 28,234.11
28) Weights of a certain type of bird follow a normal distribution with a mean weight of 11 pounds and a standard
deviation of 2 pounds. Approximiately 95% of these types of birds are between ______ pounds and _______ pounds
A) 9, 13
B) 7, 15
C) 5, 17
D) 10, 12
E) 0, 13
29) Bill takes out a conventional loan for four years at 6.1% compounded monthly. What are his monthly
payments if she borrows $4,000?
A) $81.46
B) $176.90
C) $94.12
D) $333.33
E) $73.79
Math 101 Final Exam Fall 2014 – blue - page7
30) The heights of 5 trees of the same type were recorded (in inches) as 48, 42, 45, 52, 59. What is the standard
deviation? Round your final answer to the nearest tenth.
A) 7.8
B) 5.9
C) 7.0
D) 6.6
E) 43.7
31)
The lifetime of a battery is normally distributed with a mean life of 40 hours and a standard deviation of 1.2
hours. Find the probability that a randomly selected battery lasts longer than 43 hours.
A) 99.38%
B)
0.62%
C) 8.08%
D) 91.92%
E) none of these
32) Perform the indication operation in Z6: [5][4]
A) [ 2]
B) [ 3]
C) [4]
D) [1]
E) None of these
33) What is the value of the 1st quartile (from the 5 number summary) for the following data set:
9, 3, 4, 29, 6, 10, 1, 14, 3, 31, 5, 12
A)
B)
C)
D)
E)
9.5
3.5
3
13
None of these
34) What is the Hamming distance between the codewords: 11100 and 10100
A) 0
B) 1
C) 2
D) 3
E) none of these
Math 101 Final Exam Fall 2014 – blue - page8
35)
Find the codeword corresponding to a message of 1100
A) 01011100
B)
10010101
C) 11001111
D)
10010011
E) None of these
36) Determine all the codewords for the code having the generator matrix:
1 0
[
0 1
0 0
]
0 1
List all codewords:
A) {1000,0101}
B) {0000,1000,0101,1101}
C) {0000,1000,0101,1001}
D) {01, 01, 10, 11}
E) None of these
37)
What is the mode for the following data set:
A)
B)
C)
D)
E)
2, 3, 3, 7, 7, 8, 9, 9, 9, 10, 11, 11, 11
9
9 and 11
7.7
10
none of these
38)
During the questioning of 144 voters, 42% said that they had already formed an opinion as to the guilt
of the defendant. Find a 95% confidence interval for the % of all voters that had already formed an opinion.
A) 30% to 54%
B) 41.92% to 42.08% C) 40% to 44% D) 33.67% to 50.33% E) none of these
39) Use the cheapest link algorithm to find a Hamiltonion circuit. Then, write the circuit starting with vertex
E.
A) E,A,B,C,D,E
B) E,A,C,B,D,E
C) E,D,A,B,C,E
D) E,C,B,D,A,E
E) none of these
Math 101 Final Exam Fall 2014 – blue - page9
40)
What is the remainder when 59 is divided by 7?
A)
0.4
b)
2
C) 4
D)
3
E) none of these
Math 101 Final Exam Fall 2014 – blue - page10
Standard Normal Table:
Math 101 Final Exam Fall 2014 – blue - page11
Formula Sheet given for final exam:
P = the principal amount invested or borrowed
A= accumulated amount
r = the interest rate (as a decimal)
t = time (in years)
n = number of compound periods per year
PMT = loan payment
d= deposit made at the end of each period
5)
1) Simple Interest:
2) Future Value (with Simple Interest):
Effective Annual Yield (EAY):
*Note: Effective Annual Yield is the same as
Annual Percentage Yield (APY)
3) Compound Interest -finite # of compound periods:
𝑟 𝑛𝑡
6)
Savings Formula
7)
Loan Formula (Amortization Formula):
𝐴 = 𝑃 (1 + 𝑛)
4) Compound Interest –continous
𝐴 = 𝑃𝑒 𝑟𝑡
e is approximately 2.71828 (but use e-button on
calculator)
r
PMT =
P(n)
r -nt
[1-(1+n)
]
Math 101 Final Exam Fall 2014 – blue - page12