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Assignment 2: Identifying the Distribution of a Discrete Random Variable, Exercises of Statistics

Information about an assignment for a statistics class where students are required to analyze a sample of data to determine the distribution from which it was drawn. The assignment involves calculating the mean and variance of the sample, determining if the random variable is discrete or continuous, and making an inference about the distribution of the population based on the sample. The document also includes instructions for submission and penalties for late submission.

Typology: Exercises

2018/2019

Uploaded on 10/06/2019

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Assignment 2
(due Thursday, 15 November 2018 at 23:55)
This assignment is to be completed by teams of one, two or three students. If two or three
students decide to form a group, they can choose any one student’s data set. You can find your data
in the Excel file titled “Assignment 2 data sheet.xlsx” under your student ID number.
If the assignment is handed in during the 24 hours following the deadline, it will lose 25
points. If it is handed in during the next 24 hours, it will lose another 25 points and so on.
Consequently, no points can be gained after 4 days.
The answers must be typed in the spaces below between the questions, not handwritten.
Insert any charts/graphic objects here, too (optional). You can adjust the amount of space between
the questions to fit your answers. Do not attach Excel or other printouts or hand-written material.
You must only submit the Word document, and in Word or pdf format, to Moodle.
Moodle has a 1MB size limit for students uploads (such as assignments). In order to
reduce file size, you can use the "Reduce File Size" in the File menu Word.
E-mailed assignments will not be accepted. You must upload your assignment to Moodle.
It is sufficient for one person to upload the answers for each team.
Team member names and ID’s:
Last Name First Name ID
1. ÇARKÇI BARIŞ2016300261
2. KAÇMAZ
SUİLETEN
YAVUZ SELİM
GÜLŞAH
2016300093
2016300183
QUESTIONS AND ANSWERS
I generated a sample of size 1000 for you (different for every person). Your assignment is to try and
understand from which distribution your sample was generated. Only the distributions we learned about
in class were used.
Note that a sample may not have the properties of the entire population. For example, if I randomly
picked 100 students from the university and found the mean of their GPA’s, this number will probably not
equal the mean GPA of the entire student population at the university. As the sample size gets larger,
however, we would expect to get a sample mean GPA to get closer to the population mean GPA.
0. If you are working as a group, whose data did you use?
2016300093
1. What are the mean and variance of your sample?
MEAN=18,96
VARIANCE=379,718944
2. Does your random variable seem to be discrete or continuous?
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Assignment 2 (due Thursday, 15 November 2018 at 23:55)

• This assignment is to be completed by teams of one, two or three students. If two or three

students decide to form a group, they can choose any one student’s data set. You can find your data in the Excel file titled “Assignment 2 data sheet.xlsx” under your student ID number.

• If the assignment is handed in during the 24 hours following the deadline, it will lose 25

points. If it is handed in during the next 24 hours, it will lose another 25 points and so on. Consequently, no points can be gained after 4 days.

• The answers must be typed in the spaces below between the questions, not handwritten.

Insert any charts/graphic objects here, too (optional). You can adjust the amount of space between the questions to fit your answers. Do not attach Excel or other printouts or hand-written material. You must only submit the Word document, and in Word or pdf format, to Moodle.

• Moodle has a 1MB size limit for students uploads (such as assignments). In order to

reduce file size, you can use the "Reduce File Size" in the File menu Word.

• E-mailed assignments will not be accepted. You must upload your assignment to Moodle.

It is sufficient for one person to upload the answers for each team.

Team member names and ID’s: Last Name First Name ID

1. ÇARKÇI BARIŞ 2016300261 2. KAÇMAZ SUİLETEN

YAVUZ SELİM

GÜLŞAH

QUESTIONS AND ANSWERS

I generated a sample of size 1000 for you (different for every person). Your assignment is to try and understand from which distribution your sample was generated. Only the distributions we learned about in class were used. Note that a sample may not have the properties of the entire population. For example, if I randomly picked 100 students from the university and found the mean of their GPA’s, this number will probably not equal the mean GPA of the entire student population at the university. As the sample size gets larger, however, we would expect to get a sample mean GPA to get closer to the population mean GPA.

0. If you are working as a group, whose data did you use?

1. What are the mean and variance of your sample?

MEAN=18,

VARIANCE=379,

2. Does your random variable seem to be discrete or continuous?

DISCRETE

3. What do you think the distribution of the population from which your sample comes is? Specify

the parameter value(s). Geometric probability distribution. Probability distribution function : F(x) = P( X x) = P (you get a success at or before the (x +1)th trial ) =1 – P(first (x+1)) trials are all failures) = 1 – (1-p) (x+1) Parameter(s) : p. where 0<p<

4. Describe the hints you got from the sample when making your inference for question (3) from the

following points:

a. The random variable being discrete or continuous. DISCRETE

b. The range of the sample. 167

c. The shape of the sample’s histogram

G. G. AkinEC 233Fall 2018

f(x) = (1-p)(x-1)^ * p parameter(s) : p. where 0 < p < 1

G. G. AkinEC 233Fall 2018