Higher National Certificate/Diploma in
Computing
Assessment Brief
Student Name/ID Nawoda Deshan Balasooriya
Number
M19941109004
Unit Number and 11: Maths for Computing
Title
Academic Year 2019
Unit Tutor M.T.M. Ramees
Assignment Title Application of number theory ,
probability ,Vector geometry & calculus in
computing
Issue Date 22/12/2019
Submission Date 2/2/2020
IV Name & Date Supun Walpita 11/12/2019
Submission Format
This assignment should be submitted at the end of your lesson, on the week
stated at the front of this brief. The assignment can either be
word-processed or completed in legible handwriting.
If the tasks are completed over multiple pages, ensure that your name and
student number are present on each sheet of paper.
NAWODA BALASOORIYA(M19941109004) 1
, Unit Learning Outcomes
LO1 Use applied number theory in practical computing scenarios
LO2 Analyse events using probability theory and probability distributions
LO3 Determine solutions of graphical examples using geometry and vector
methods
LO4 Evaluate problems concerning differential and integral calculus.
Assignment Brief and Guidance
Suppose that you work for a company which operates in multidisciplinary
streams such as hardware & software development, sales, networking,
resources management etc. you have been recruited by the company and it
is required for you to work in all the disciplines during the first year
probationary period, in order to gain minimum competence in each area.
Following tasks asses your mathematics knowledge, skills and its
application in relevant areas of work that you are about to get involved.
Task 1
a) Programmes A, B & C, give out notifications every 2 days, every 5
days & every 6 days. when will they give out notifications at the same
time during the course of two month
b) Computer store A sells a package of 12 CPU’s for half price while
Computer store B sells a package of 9 Desktop monitors for half
price. Suppose that you intend to buy CPU’s and monitors to set up a
gaming zone and find What is the least number of CPU’s and Desktop
monitors you need to buy in order to make sure you are not left with
a surplus
c) A teacher has three computer science classes. Each class has 102,
72, and 120 students respectively. He wants to divide each class into
groups (members should be from the same class) In order to give a
common assignment so that every group in every class has the same
number of students. For the convenience of marking, the teacher
expect to set up less number of groups as possible. Find the number
of students can put into each group.
NAWODA BALASOORIYA(M19941109004) 2
, d) Suppose you have two hard disks with different disk space’s 512 GB
and 604 GB. If you are required to partition both disks into equal
capacity that are as large as possible, find the space that should be
allocated for each partition?
e) Describe importance of prime numbers in detail within the field of
computing.
Task 2
a) It was determined that 75% of spam emails have “check this out” in
the subject line while 10% of non-spam emails have this sentence in
the subject line. If you see a mail contains “”check this out” by your
filter, what is the probability that it is an actual spam?
b) Suppose that the company created an Image processing programme
which can classify people according to their hairstyle (long or short)
through CCTV images. It is known that 90% males and only 20%
females have short hair. If the population comprised of 60% female
& 40% male, find the probability of being a male if the programme
identifies a person with long hair.
c) The probability that a visitor to a Web site provides contact data for
additional information is 0.01. Assume that 2000 visitors to the site
behave independently. Determine the following probabilities
i) No visitor provides contact data
ii) Exactly 100 visitors provide contact data
iii) More than 3 visitors provide contact data.
NAWODA BALASOORIYA(M19941109004) 3
Computing
Assessment Brief
Student Name/ID Nawoda Deshan Balasooriya
Number
M19941109004
Unit Number and 11: Maths for Computing
Title
Academic Year 2019
Unit Tutor M.T.M. Ramees
Assignment Title Application of number theory ,
probability ,Vector geometry & calculus in
computing
Issue Date 22/12/2019
Submission Date 2/2/2020
IV Name & Date Supun Walpita 11/12/2019
Submission Format
This assignment should be submitted at the end of your lesson, on the week
stated at the front of this brief. The assignment can either be
word-processed or completed in legible handwriting.
If the tasks are completed over multiple pages, ensure that your name and
student number are present on each sheet of paper.
NAWODA BALASOORIYA(M19941109004) 1
, Unit Learning Outcomes
LO1 Use applied number theory in practical computing scenarios
LO2 Analyse events using probability theory and probability distributions
LO3 Determine solutions of graphical examples using geometry and vector
methods
LO4 Evaluate problems concerning differential and integral calculus.
Assignment Brief and Guidance
Suppose that you work for a company which operates in multidisciplinary
streams such as hardware & software development, sales, networking,
resources management etc. you have been recruited by the company and it
is required for you to work in all the disciplines during the first year
probationary period, in order to gain minimum competence in each area.
Following tasks asses your mathematics knowledge, skills and its
application in relevant areas of work that you are about to get involved.
Task 1
a) Programmes A, B & C, give out notifications every 2 days, every 5
days & every 6 days. when will they give out notifications at the same
time during the course of two month
b) Computer store A sells a package of 12 CPU’s for half price while
Computer store B sells a package of 9 Desktop monitors for half
price. Suppose that you intend to buy CPU’s and monitors to set up a
gaming zone and find What is the least number of CPU’s and Desktop
monitors you need to buy in order to make sure you are not left with
a surplus
c) A teacher has three computer science classes. Each class has 102,
72, and 120 students respectively. He wants to divide each class into
groups (members should be from the same class) In order to give a
common assignment so that every group in every class has the same
number of students. For the convenience of marking, the teacher
expect to set up less number of groups as possible. Find the number
of students can put into each group.
NAWODA BALASOORIYA(M19941109004) 2
, d) Suppose you have two hard disks with different disk space’s 512 GB
and 604 GB. If you are required to partition both disks into equal
capacity that are as large as possible, find the space that should be
allocated for each partition?
e) Describe importance of prime numbers in detail within the field of
computing.
Task 2
a) It was determined that 75% of spam emails have “check this out” in
the subject line while 10% of non-spam emails have this sentence in
the subject line. If you see a mail contains “”check this out” by your
filter, what is the probability that it is an actual spam?
b) Suppose that the company created an Image processing programme
which can classify people according to their hairstyle (long or short)
through CCTV images. It is known that 90% males and only 20%
females have short hair. If the population comprised of 60% female
& 40% male, find the probability of being a male if the programme
identifies a person with long hair.
c) The probability that a visitor to a Web site provides contact data for
additional information is 0.01. Assume that 2000 visitors to the site
behave independently. Determine the following probabilities
i) No visitor provides contact data
ii) Exactly 100 visitors provide contact data
iii) More than 3 visitors provide contact data.
NAWODA BALASOORIYA(M19941109004) 3
