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

 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 1 Data

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 56 100 Associates of Science 0
2 63 105 Associates of Arts 3
3 71 120 Computer Technologies 3
4 62 125 Associates of Arts 1
5 56 105 2
6 61 120 physical therapy 3
7 64 172 Associates of Arts 0
8 72 235 Associates of Science 1
9 63 135 Nursing 2
10 73 182 4
11 70 172 Associates of Arts 3
12 72 160 Associates of General Education 1
13 66 135 2
14 64 128 Nursing 0
15 72 180 Associates of Arts 1
16 71 170 Associates of General Education 0
17 63 210 Associates of Arts 2
18 68 180 Associates of General Education 0
19 72 250 Associates of Science 1
20 76 210 Associates of General Education 0
21 63 144 Associates of General Education 1
22 68 165 Associates of General Education 1
23 64 140 Associates of General Education 0
24 69 145 Business 4
25 72 270 Business 1
26 63 132 Associates of Arts 0
27 63 148 Nursing 1
28 72 185 Associates of General Education 1
29 69 175 Strategic Studies and Defense Analysis 2
30 59 155 0
31 69 179 Associates of General Education 4
32 62 205 Nursing 0
33 63.5 180 Associates of Arts 0
34 68 240 Nursing 2
35 62 168 Associates of Science 0
36 67 137 Associates of Science 0
37 70 200 Associates of General Education 4
38 69 186 Associates of General Education 2
39 60 140 Nursing 2
40 70 199 Nursing 0
41 65 205 Associates of Science 1
42 65 145 Associates of Science 1
43 72 180 Computer Technologies 0
44 74 175 Associates of General Education 3
45 67 140 Nursing 0
46 70 215 Nursing 1
47 67 205 Associates of General Education 4
48 68 191 Associates of Arts 7
49 71 213 Business 0
50 71 225 Associates of Arts 2
51 70 217 Nursing 1
52 67.2 150 Associates of Arts 1
53 71 190 Associates of Science 0
54 76 220 Nursing 1
55 68 189 Nursing 2

&A

Module 2 Data

Student What is your gender? Are you registered to vote? Have you every lied to anyone about your age? How many pets do you own?
1 Female Yes No 0
2 Female No No 3
3 Male Yes Yes 3
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

&A

Module 3 & 4 Data

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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 4 7
2 63 105 4 5
3 71 120 4 8
4 62 125 4 7
5 56 105 3.7 6
6 61 120 4 7
7 64 172 3.8 7
8 72 235 3.22 5
9 63 135 4 6
10 73 182 3.62 6
11 70 172 4 6
12 72 160 2.3 8
13 66 135 4 8
14 64 128 2.1 7
15 72 180 2.5 8
16 71 170 4 6
17 63 210 3.75 4