will attach details
MAT 152 PROJECT 2
We will use the sample data collected from statistics classes at FTCC.
Please be advised that you may use your book and notes on this project, but you may not collaborate
with anyone. Getting help on a Project from any person is a violation of the Student Code of
Conduct.
Write each probability as fractions in simplest form and/or round four decimal places.
PART 1 – PROBABILITY
I. Use the data set for gender and lied about your age
A. Create a table from the data collected.
B. Based on our sample, find the following probabilities
1. What is the probability that a randomly chosen Statistics student has lied about
their age?
2. What is the probability that a randomly selected Statistics student has lied about
their age given that the student is a female?
3. What is the probability that a randomly selected Statistics student has lied about
their age given that the student is a male?
4. Determine whether the events of being female and lying about your age are
independent or dependent. Explain your reasoning.
PART 2 – DISCRETE PROBABILITY DISTRIBUTION
II. Use the data set for number of pets.
A. Construct and graph the discrete probability distribution from your data set.
Note: You can use software (Excel, online sites, etc.) or draw them by hand using
graph paper.
B. Does your discrete probability distribution fulfill the two conditions it must satisfy?
Explain.
C. Find the mean, variance, and standard deviation of the distribution in part A above.
Round to the
nearest tenth.
D. Find the following probabilities.
1. Using the probability distribution in part A, find the probability of randomly
choosing a household that does not have a pet.
2. Using the probability distribution in part A, find the probability of randomly
choosing a household that has more than 2 pets.
PART 3 – BINOMIAL DISTRIBUTION
III. Use the data set for the Registered Voters
A. Find the probability that a randomly selected Statistics student is a registered voter.
B. Construct and graph the binomial distribution for the number of voters when 10 students
are selected.
C. Find the mean, variance and standard deviation of this binomial distribution. Round to
nearest tenth.
D. If 10 Statistics students are selected at random, what is the probability that all of them
are registered voters?
E. If 10 Statistics students are selected at random, what is the probability that less than 5
of
them are registered voters?
F. If 10 Statistics students are selected at random, what is the probability that at least 8 of
them are registered voters?
Rubric for Module 2 Project
Give each probability as fractions in simplest form or round to the nearest thousandth.
Part I: Probability
A) 10 points
B) Find following probabilities:
1) 6 points
2) 6 points
3) 6 points
4) 6 points
Part II: Probability Distribution
A) 10 points
B) 4 points
C) 6 points
D) Find the following probabilities.
1) 5 points
2) 5 points
Part III: Binominal Probability
A)5 points
B) 10 points
C) 6 points
D) 5 points
E) 5 points
F) 5 points
There will also be deductions for grammatical mistakes.
Module 2 Project Answer
Sheet Name __________________________________
I. Probability
A. Frequency Table. Show your work for partial credit! (10 pts)
Lied about age
Never lied about age
Total
Males
Females
Total
B. Use the table above.
1. _____________________ (6 pts)
2. _____________________ (6 pts)
3. _____________________ (6 pts)
4. ___________________________________________________________________________________________________________________________ (6 pts)
II. Discrete Probability
C.
(5 pts)
X
0
1
2
3
4
5
6
7
8
9
10
Frequency
P(X)
(5 pts)
D. ______________________________________________________________________________________________________________________________________ (4 pts)
E. Mean = ___________ (2 pts), variance = _____________ (2 pts),
standard deviation = ____________ (2 pts)
F. Use the probability distribution
1. __________________________________________ (5 pts)
2. __________________________________________ (5 pts)
III. Binomial probability
G. __________________________________________ (5 pts)
H. (5 pts)
X
P(X)
0
1
2
3
4
5
6
7
8
9
10
(5 pts)
I. Mean = ____________ (2 pts), Variance = _____________ (2 pts)
Standard deviation = ____________ (2 pts)
J. ______________________________________________________________ (5pts)
K. _______________________________________________________________ (5pts)
L. _______________________________________________________________ (5pts)
>Module Data
0
0 5
3 1
0
3 Associates of Arts 1 2 1 3 Associates of Arts 0 72 5
Associates of Science 1 5
2 2
4 2
Associates of Arts 3 0
1 2 64 Nursing 0 72 Associates of Arts 1 Associates of General Education 0 0
Associates of Arts 2 180 Associates of General Education 0 72 Associates of Science 1 Associates of General Education 0 Associates of General Education 1 68 Associates of General Education 1 Associates of General Education 0 4 0
Business 1 63 Associates of Arts 0 Nursing 1 Associates of General Education 1 69 2 0 69 Associates of General Education 4 Nursing 0 180 Associates of Arts 0 68 Nursing 2 Associates of Science 0 Associates of Science 0 Associates of General Education 4 69 Associates of General Education 2 Nursing 2 Nursing 0 65 205 Associates of Science 1 65 Associates of Science 1 72 180 Computer Technologies 0 175 Associates of General Education 3 70 Nursing 1 67 205 Associates of General Education 4 Associates of Arts 7 71 Business 0 Associates of Arts 2 70 Nursing 1 Associates of Arts 1 71 Associates of Science 0 76 Nursing 1 Nursing 2 &A
How many pets do you own? 0 Yes Yes 3 &A 4 7 4 8 4 7 6 7 2
5 4 6 2
6 8 7 8 4 7 6 6 2.3 6 2.5 6 2.5 7 4 7 5 3.6 7 180 3.7 5 7 3.2 8 6 8 4 6 8 &A
Module 2 Project Answer Sheet Name __________________________________
A. Frequency Table. Show your work for partial credit! (10 pts) Lied about age Never lied about age Total Males Females Total B. Use the table above. 1. _____________________ (6 pts) 2. _____________________ (6 pts) 3. _____________________ (6 pts) 4. ___________________________________________________________________________________________________________________________ (6 pts) II. Discrete Probability C. (5 pts) X 0 1 2 3 4 5 6 7 8 9 10 Frequency P(X) (5 pts) D. ______________________________________________________________________________________________________________________________________ (4 pts) E. F. Use the probability distribution 1. __________________________________________ (5 pts) 2. __________________________________________ (5 pts) III. Binomial probability G. __________________________________________ (5 pts)
H. (5 pts) X P(X) 0 1 2 3 4 5 6 7 8 9 10 (5 pts) I. Mean = ____________ (2 pts), Variance = _____________ (2 pts) J. ______________________________________________________________ (5pts) K. _______________________________________________________________ (5pts) L. _______________________________________________________________ (5pts) image1 Turnitin Report Formatting Title Page Citation Outline
2
1
Student
What is your height in inches?
What is your weight in pounds?
What is your college Major?
How many pets do you own?
1
5
6
1
0
Associates of Science
2
6
3
10
Associates of Arts
3
7
12
Computer Technologies
4
62
1
25
5
56
105
6
61
20
physical therapy
7
64
1
72
8
23
9
63
13
Nursing
10
73
18
11
70
17
12 72
16
Associates of General Education
13
66
1
35
14
1
28
15
180
16
71
170
17 63
21
18
68
19
2
50
20
76
210
21 63
1
44
22
1
65
23 64
1
40
24
69
1
45
Business
25 72
27
26
1
32
27 63
1
48
28 72
185
29
175
Strategic Studies and Defense Analysis
30
59
1
55
31
179
32 62
205
33
6
3.5
34
240
35 62
168
36
67
1
37
37 70
200
38
186
39
60
140
40 70
199
41
42
145
43
44
74
45 67 140 Nursing 0
46
215
47
48 68
191
49
213
50 71
225
51
217
52
67.2
150
53
190
54
220
55 68
189
Module 2 Data
Student
What is your gender?
Are you registered to vote?
Have you every lied to anyone about your age?
1
Female
Yes
No
2 Female No No 3
3
Male
4 Female No No 1
5 Female Yes No 2
6 Female No No 3
7 Female Yes No 0
8 Male Yes No 1
9 Female No No 2
10 Male No Yes 4
11 Female No No 3
12 Male Yes No 1
13 Male No No 2
14 Female No No 0
15 Male Yes No 1
16 Male Yes No 0
17 Female Yes No 2
18 Male No Yes 0
19 Male Yes No 1
20 Male Yes No 0
21 Female No No 1
22 Male Yes No 1
23 Female Yes No 0
24 Female Yes No 4
25 Male No No 1
26 Female No No 0
27 Female Yes No 1
28 Male No No 1
29 Male Yes Yes 2
30 Male Yes No 0
31 Male Yes No 4
32 Female Yes No 0
33 Female Yes No 0
34 Female Yes No 2
35 Female Yes No 0
36 Female No No 0
37 Male Yes No 4
38 Male Yes No 2
39 Female Yes No 2
40 Male Yes No 0
41 Female No No 1
42 Female Yes No 1
43 Male Yes No 0
44 Male Yes No 3
45 Female Yes No 0
46 Male No No 1
47 Male Yes Yes 4
48 Female Yes No 7
49 Male Yes Yes 0
50 Male Yes No 2
51 Male Yes No 1
52 Male Yes No 1
53 Female No No 0
54 Male Yes No 1
55 Female Yes Yes 2
Module 3 & 4 Data
Student What is your height in inches? What is your weight in pounds?
What is your cumulative Grade Point Average (GPA) at FTCC or your primary college?
How many hours do you sleep each night?
1 26
100
2 63 105 4 5
3 71
120
4 62
125
5 56 105
3.7
6 61 120 4 7
7 64
172
3.8
8 72
235
3.2
9 63
135
10 73
182
3.6
11 70 172 4 6
12 72
160
2.3
13 66 135 4 8
14 64
128
2.1
15 72 180
2.5
16 71 170 4 6
17 63 210
3.75
18 68 180
2.2
19 72
250
3.69
20 76 210
1.98
21 63
144
22 68
165
23 64 140 3.7 9
24 69 145 3 5
25 72
270
26 63
132
27 63
148
3.231
28 72 185 3.5 6
29 69 175 4 6
30 59
155
31 69 179 4 8
32 62 205 3.5 6
33
63.5
34 68 240 4 5
35 62 168
3.3
36 67
137
37 70 200 4 6
38 69 186 4 5
39 60 140 4 5
40 70 199 3.8 5
41 65 205 2.5 10
42 65 145 3.2 8
43 72 180 2.1 6
44 74 175 3.5 7
45 67 140 3.7 6
46 70 215 3 8
47 67 205
2.8
48 68 191
3.51
49 71 213
1.4
50 71 225
2.7
51 70 217 3.8 6
52 67.2 150 4 6
53 71 190
1.7
54 76 220 3.7 7
55 68 189 3.5 8
I.
Probability
Mean = ___________ (2 pts)
, variance = _____________ (2 pts)
,
standard deviation = ____________ (2 pts)
Standard deviation = ____________ (2 pts)Order an Essay Now & Get These Features For Free:
