FIT5197 – Statistical Data Modelling

FIT5197 – Statistical Data Modelling – Semester 1, 2020 Monash Clayton Campus
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ASSIGNMENT 1B – Due on Sunday 11:55pm of Week 5.
TOPICS TESTED: EXPECTATION & ENTROPY
Do’s & Don’ts:
*** All answer in this assignment can be done in any colour except for red colour as this is the colour your tutor will use to
mark your assignment. Thus, answers in red colour will not be graded (even correct ones) ***
*** If you choose to handwrite your answer (scan and submit it electronically), make sure your handwriting is readable –
this is a good practice for your exam. Failure to comply will result in a lack of marks awarded if your writing is unreadable
and there will be no exception for this. ***
*** Each sub-assignment will be worth 2.5% towards your total score. Sub-assignments will have different point
distributions within them as we aim to focus your attention to the important areas; however, the score for a sub-assignment
remains 2.5%. ***
*** These questions are meant for you to solve independently, we encourage students to figure out the questions
themselves as it would be good for their understanding of the topics; however, please feel free to consult your tutors if
needed. Plagiarism (either from using online sources or copying the answers from your classmates) will be punished
accordingly. ***
*** As this is considered to be an assignment (albeit a sub assignment), requests for special consideration or extension must
be submitted at least 2 days BEFORE THE DEADLINE. The due date is on Sunday, so the latest day you can ask for extension
is on Friday (the last official working day of the week for the teaching team). Please follow Monash guideline to request for
extensions (medical certificates, doctor or GP letter, etc). Emergencies are to be adjusted individually. ***
*** No R or any other programming languages should be used in solving these questions. All work for this assignment
needs to be done manually, less the use of non-programmable calculator (this also applies to your Final Exam). Tutors are
not required to answer questions in the difference between manual calculation and programmed calculation***
*** Late submission is 10% per day, after 5 days you will be given no marks. Late submission is calculated as following: If
you get 70% on this assignment and you are late for 2 days (you submit on Tuesday), your scores is now 70% -20% (2×10%
per day) = 50%. This is done to ensure that the teaching team can release your result as soon as possible so that you can
review on your mistakes and have a better study experience. ***
*** Please show all working in answering questions, your score will be halved if you don’t comply***
*** Assignments shall be marked completely in two weeks’ time according to Monash Policies. If there are any changes to
the marking time, we will duly inform you. Solutions will not be released for this assignment; you can come to the tutorial
and ask for an explanation about how to solve the questions after scores are released. ***
*** Please don’t send emails to tutors asking for suggestions, we have Moodle and consultations for that, In writing your
inquiries on Moodle please try to be clear in your problem and not revealing your working to others as this might be counted
as plagiarism on your part. A good format for inquiry topic would be “Assignment 1a – Tutorial 10 (your tutorial slot) –
Question about median “***
*** Assignments need to be submitted in PDF format. Failure to comply will result in 30% penalty***
*** Filename format for submitting assignment “Assignment1B_StudentId.pdf”. File with wrong format incurs 30% penalty
***
FIT5197 – Statistical Data Modelling – Semester 1, 2020 Monash Clayton Campus
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QUESTIONS:
A. EXPECTATION: (7 Marks Total)
1) Let X be a continuous random variable with probability density function:
Given that E(X) = 0.5, find out Var(X)? (2 Marks)
ANSWERS:
FIT5197 – Statistical Data Modelling – Semester 1, 2020 Monash Clayton Campus
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2) Let X be a continuous random variable with probability density function:
Given that P(-2 < x < 1) = P(1 < x < 2) , find out the cumulative distribution function / CDF(x). (2 Marks)
ANSWERS:
FIT5197 – Statistical Data Modelling – Semester 1, 2020 Monash Clayton Campus
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3) The wealth of an individual is a random variable with probability density function:
a. What is the value of C to make the distribution normalise to 1? (1 Marks)
b. What is the mean of x? (1 Marks)
ANSWERS:
FIT5197 – Statistical Data Modelling – Semester 1, 2020 Monash Clayton Campus
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4) Let

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