# Math Tuition

## Annually, Professional Tutors Helps Over 30,000 Students Achieve Their Academic Goals

## Since 2011, We Have Been The Consistent Leader In The Education Industry, Because Of The Quality Of Our Tutors

## Our 5 co-founders are former senior teachers/HOD's from Singapore's top primary/secondary schools and junior college

Every year, the syllabus gets more difficult, and the exam requirements are increasingly more demanding. Competition to get into the good classes and universities is very intense. Stress levels are sometimes overwhelming, and parents are worried that their children will be left behind or excluded.

Professional Tutors has established a very strong reputation for our ability to attract the best and most successful tuition teachers in Singapore to be part of our team. Outstanding, high-quality and credible tutors make it possible for our students to receive the reliable and effective academic help that they need, in order to perform much better.

About 35% of our clients are MOE teachers and university lecturers. They trust what our tutors teach their own children. The proven expertise of our carefully-chosen star tutors makes it possible for students’ grades to improve between 10 to 30 marks in 2 semesters.

## Our 33,000 Qualified Tutors Have 2 Clear Objectives:

** 1. Dependably And Systematically Prepare You For Your Next Test/Exam**

** 2. Quickly And Competently Help You Score Maximum Grades For Each Exam Section **

## Take Control Of Your Grades Today

### +65 8940-8200

# Hire Singapore's Most Successful Math Tuition Teachers

**Tutors**: Please Ensure That You Have Registered At: **https://professional-tutors.com/tuition-jobs-better-assignments-fast/**

We Are Not Able To Accept Any Tutor Registrations Through This Hire Tutors Form. Thank You

### We Are Confident That You Will Succeed

#### More Than 30,000 Satisfied Clients Every Year Since 2011

- Students benefit from our experience, track record, and superior reputation
- Within 12 hours, our 20+ resourceful tuition coordinators (all of them have graduated from NUS, NTU and SMU) ensure that you can easily choose and hire the ideal tutor that fits your criteria
- 100% successful matches. Every time
- No agency fees. You pay only for lessons conducted

#### Latest MOE Syllabus, And Exam Marking Scheme Requirements

Our experienced and committed tutors will help you:

- Answer difficult exam questions
- Correctly prepare for your homework/projects
- Understand and revise every chapter
- Learn ahead of the syllabus
- Identify, avoid and prevent careless mistakes

#### Singapore's Largest Team of Qualified Tutors

- Choose from MOE current/former teachers, experienced tuition teachers with PhD/Master’s/Bachelor’s, or who are proficient university undergraduates
- Whether your dream is to start your own business, or to work for a prestigious MNC – the most important and useful immediate objective would be to receive the best academic guidance now, so that your grades can open many important doors for you
- Annually, our tutors help over 30,000 students to achieve their academic goals

#### Proven Methods To Score Higher Grades

- Our private tutors show you the important patterns and links in each chapter, and how to answer challenging application questions
- We teach you why and how to focus on which of the most crucial aspects of textbook content
- You will learn correct answering techniques so that your responses are specific and never off-point
- Practice worksheets/past exams with an acknowledged expert, so that your mistakes can be quickly and patiently corrected

#### We Have The Education Industry's Most-Admired Tutor Database

- Tutors know that we are very careful and highly selective during the matching process
- We do not accept under-performing tutors in our team/database
- Professional Tutors therefore attracts tuition teachers who have already acquired and maintained an impressive track record of helping their students’ grades consistently and substantially improve

#### Our 5 Co-Founders Collectively Have Over 7 Decades Of Experience In The Education Industry

- Our Advisory Panel comprises former MOE school principals, subject Heads of Department, and senior teachers
- This ensures that our tutors are firmly on track to teach the latest MOE syllabus, and are familiar with the exam requirements and marking schemes, as well as the requisite answering techniques

### Take Control Of Your Math Grades Today

## 33,000 Experienced Private Tutors

Current/Former MOE Teachers, Tutors With Proven Track Records, PhD/Master's/Post-Doctoral Tutors, Graduated/Undergraduate Dependable Tutors

Mr CTA has 6 years of Math tuition experience. He has a Bachelor’s Mathematical and Computer Sciences from NTU. Mr CTA taught at a tuition centre for 3 years. His private tuition students attended Dazhong Primary School, Henry Park Primary School, Jurongville Secondary School, Anglican High School, Jurong Pioneer Junior College, and River Valley High School.

Ms KLP has 12 years of Math tuition experience. She is NIE-trained, and taught at leading MOE schools for 9 years. Ms KLP has a Bachelor’s in Data Science and Artificial Intelligence from NTU (Honours). Her private tuition students attended Cedar Girls’ Secondary School Integrated Programme, Loyang View Secondary School, Anglo-Chinese School (Independent), Punggol Secondary School, Teck Whye Secondary School, and Victoria School.

Ms NRS has 8 years of Math tuition experience. She has a PhD in Mathematics from the University of Cambridge. Ms NRS’s Bachelor’s in Mathematics was from NUS (First Class Honours). Ms NRS was an MOE relief teacher for 3 years. Her home tuition students attended Pei Chun Public School, Maha Bodhi School, Catholic High School Integrated Programme, CHIJ Secondary (Toa Payoh), Eunoia Junior College, and Anglo-Chinese Junior College.

Mr GHS has 7 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS (2^{nd} Upper Class Honours). Mr GHS was a contract teacher at one of Singapore’s top schools for 2 years. His home tuition students attended Raffles Girls’ Primary School, Keming Primary School, Hua Yi Secondary School, Maris Stella High School, Jurong Pioneer Junior College, and National Junior College.

Ms MK has 10 years of Math tuition experience. She has a PhD in Mathematics from the London School of Economics and a Bachelor’s in Mathematics from NUS (First Class Honours). Her private tuition students attended National Junior College, Raffles Institution, Victoria Junior College, Yishun Innova Junior College, Dunman High School, and Anglo-Chinese Junior College.

Mr TP has 15 years of Math tuition experience. He is NIE-trained and taught at MOE schools for 12 years. Mr TP has a Bachelor’s in Applied Mathematics from NUS (Honours). His private tuition students attended Cedar Primary School, Fuhua Primary School, Nanyang Primary School, Ai Tong School, De La Salle School, and St Anthony’s Canossian Primary School.

## Hire The Best Math Experts To Help You Succeed

## A Committed And Skillful Math Home Tutor Can Make An Important Difference In How You Understand The Curriculum And Therefore Achieve Gains Of 10 to 30 Marks Within 2 Semesters

Ms SYH has 8 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS. Ms SYH was an MOE contract teacher for 3 years. Her private tuition students attended North View Primary School, Pei Tong Primary School, Qifa Primary School, Bartley Secondary School, Kent Ridge Secondary School, and Nan Hua High School.

Ms CCF has 9 years of Math tuition experience. She is NIE-trained and taught at MOE schools for 5 years. Ms CCF has Bachelor’s in Mathematical Sciences with Minor in Finance from NTU. Ms CCF’s home tuition students attended Greenridge Secondary School, Montfort Secondary School, Admiralty Secondary School, Xinmin Secondary School, CHIJ St Joseph’s Convent, and St Andrew’s Secondary School.

Ms JT has 14 years of Math tuition experience. She was the Head of Mathematics at a group of tuition centres where she taught for 7 years. Ms JT has a Master’s in Applied Mathematics at Oxford University. Her Bachelor’s in Mathematical Sciences was from NTU (First Class Honours). Ms JT’s private tuition students attended Beacon Primary School, Maha Bodhi School, Tanglin Secondary School, Dunman High School Integrated Programme, Anderson Serangoon Junior College, and Eunoia Junior College.

Mr GPT has 3 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS. Mr GPT taught at a tuition centre for 1 year. His home tuition students attended Nanyang Primary School, Keng Cheng School, Bukit Panjang Govt. High School, Bartley Secondary School, Catholic Junior College, and Raffles Institution.

Ms WKY has 12 years of Math tuition experience. She is NIE-trained, and taught at top junior colleges for 9 years. Ms WKY has a Bachelor’s in Data Science & Analytics (2^{nd} Upper Class Honours) from NUS. Her private tuition students attended St Andrew’s Junior College, Hwa Chong Institution, Anderson Serangoon Junior College, Dunman High School, Catholic Junior College, and River Valley High School.

Ms FS has 7 years of Math tuition experience. She has a Bachelor’s in Mathematical and Computer Sciences (Double Major) from NTU (Honours). Ms FS was an MOE contract teacher for 3 years and had taught at tuition centres for 5 years. Ms FS’s private tuition students attended Raffles Girls’ Primary School, Sembawang Primary School, Northland Secondary School, Hai Sing Catholic School, Jurong Pioneer Junior College, and Hwa Chong Institution.

Ms LLE has 5 years of Math tuition experience. She has a Bachelor’s in Mathematical Sciences from NTU (Honours). Ms LLE taught at a tuition centre for 3 years. Her private tuition students attended Yishun Primary School, Fairfield Methodist School (Primary), Bukit Merah Secondary School, Commonwealth Secondary School, Hwa Chong Institution, and Raffles Institution.

Ms CSF has 9 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS. Ms CSF’s private tuition students attended Anglo-Chinese School (Primary), Red Swastika School, St Margaret’s Primary School, Beatty Secondary School, Jurong West Secondary School, and Tanjong Katong Girls’ School.

Mr OJL has 7 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS (Honours). Mr OJL was an MOE contract teacher for 1 year and he taught at tuition centres for 4 years. Mr OJL’s home tuition students attended West Spring Primary School, Haig Girls’ School, Guangyang Secondary School, Nan Hua High School, Jurong Pioneer Junior College, and Yishun Innova Junior College.

Mr GCK has 7 years of Math tuition experience. He is NIE-trained, and taught at MOE schools for 6 years. He has a Bachelor’s in Quantitative Finance from NUS (2^{nd} Upper Class Honours). Mr GCK’s private tuition students attended Corporation Primary School, CHIJ Our Lady of Good Counsel Primary, Hong Wen School, Methodist Girls’ School (Primary), Singapore Chinese Girls’ Primary School, and St Gabriel’s Primary School.

Mr EWH has 10 years of Math tuition experience. He has a PhD in Financial Mathematics from the University of California, Berkeley. His Bachelor’s in Applied Mathematics was from NUS (First Class Honours). His home tuition students Victoria School Integrated Programme, NUS High School of Mathematics and Science, Nanyang Girls’ High School Integrated Programme, Methodist Girls’ School (Secondary) IB programme, CHIJ St Nicholas Girls’ School Integrated Programme, and Hwa Chong Institution.

Ms HYY has 5 years of Math tuition experience. She has a Bachelor’s in Mathematical Sciences and Economics (Double Major) from NTU. Ms HYY was an MOE contract teacher for 1 year. Her private tuition students attended Canossa Catholic Primary School, Anglo-Chinese School (Junior), Yusof Ishak Secondary School, Fairfield Methodist School (Secondary), Nanyang Junior College, and Temasek Junior College.

Ms YJJ has 7 years of Math tuition experience. She has a PhD in Statistics from Stanford University. Her Bachelor’s in Applied Mathematics was from NUS (First Class Honours). Ms YJJ’s home tuition students attended Anglo-Chinese School (Independent), CHIJ St Nicholas Girls’ School Integrated Programme, NUS High School of Mathematics and Science, Victoria Junior College, Hwa Chong Institution, and National Junior College.

Mr NHN has 4 years of Math tuition experience. He has a Bachelor’s in Mathematical Sciences from NTU. Mr NHN’s private tuition students attended Lianhua Primary School, Innova Primary School, River Valley Primary School, Yuan Ching Secondary School, CHIJ St Theresa’s Convent, and St Hilda’s Secondary School.

Ms GS has 10 years of Math tuition experience. She has a Bachelor’s in Mathematical Sciences and Economics (Double Major) from NTU (2^{nd} Upper Class Honours). Ms GS’s private tuition students attended Singapore Chinese Girls’ Secondary School Integrated Programme, Raffles Girls’ School (Secondary) Integrated Programme, St Patrick’s School, Bowen Secondary School, Eunoia Junior College, and River Valley High School.

Ms HT has 5 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS (First Class Honours). Ms HT wrote the Math curriculum for primary and secondary school levels at a leading group of tuition centres. Ms HT’s private tuition students attended White Sands Primary School, St Andrew’s Junior School, St Stephen’s School, Chua Chu Kang Secondary School, Methodist Girls’ School (Secondary), and St Andrew’s Secondary School.

Mr AL has 9 years of Math tuition experience. He has a Master’s in Applied Mathematics from Cornell University. His Bachelor’s in Computer Science & Mathematics was from NUS (First Class Honours). Mr AL was a contract teacher at one of Singapore’s top junior colleges for 2 years. His private tuition students attended Nanyang Junior College, Victoria Junior College, Raffles Institution, Eunoia Junior College, Anderson Serangoon Junior College, and Anglo-Chinese Junior College.

Mr SP has 10 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS. Mr SP taught at a tuition centre for 3 years. His home tuition students attended Northoaks Primary School, Pei Tong Primary School, Bendemeer Secondary School, Crescent Girls’ School, National Junior College, and Yishun Innova Junior College.

Mr TLM has 9 years of Math tuition experience. He has a Master’s in Data Science and Machine Learning from NUS. His Bachelor’s in Mathematics was from NUS (2^{nd} Upper Class Honours). Mr TLM’s home tuition students attended Palm View Primary School, Rosyth School, Temasek Primary School, Deyi Secondary School, Fuchun Secondary School, and Dunman High School Integrated Programme.

Mr NYS has 6 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS (2^{nd} Upper Class Honours). He was an MOE contract teacher for 2 years, and taught at a leading tuition centre for 5 years. Mr NYS’s private tuition students attended Hougang Secondary School, East Spring Secondary School, Nanyang Girls’ High School Integrated Programme, Jurong Pioneer Junior College, Temasek Junior College, and Dunman High School.

Ms DH has 17 years of Math tuition experience. She is NIE-trained, and taught at MOE schools for 8 years. Ms DH has a Bachelor’s in Quantitative Finance from NUS (Honours). Ms DH’s private tuition students attended Methodist Girls’ School (Primary), Tampines North Primary School, Telok Kurau Primary School, Dunearn Secondary School, Greenridge Secondary School, and Naval Base Secondary School.

Ms GWL has 4 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS (First Class Honours). Ms GWL was a contract teacher at a top MOE school for 2 years. Her private tuition students attended Zhangde Primary School, Catholic High School – Primary, Teck Whye Secondary School, Maris Stella High School, Nanyang Junior College, and St Joseph’s Institution.

Mr CHP has 15 years of Math tuition experience. He has a Bachelor’s in Applied Mathematics from NUS (First Class Honours). Mr CHP was the Head of Mathematics at the group of tuition centres where he taught for 9 years. Mr CHP’s home tuition students attended Nanyang Primary School, Methodist Girls’ School (Primary), St Andrew’s Secondary School, Singapore Chinese Girls’ Secondary School, Temasek Junior College, and Raffles Institution.

Ms OP has 7 years of Math tuition experience. She has a Bachelor’s in Physics and Mathematical Sciences (Double Major) from NTU. Ms OP taught at a leading tuition centre for 5 years. Her private tuition students attended Raffles Girls’ School (Secondary) Integrated Programme, NUS High School of Mathematics and Science, CHIJ St Nicholas Girls’ School Integrated Programme, Hwa Chong Institution, St Andrew’s Junior College, and Eunoia Junior College.

Mr THC has 17 years of Math tuition experience. He has a Bachelor’s in Computer Science & Applied Mathematics from NUS (Honours). His private tuition students attended Oasis Primary School, Jing Shan Primary School, Cedar Girls’ Secondary School, Bowen Secondary School, Catholic Junior College, and Nanyang Junior College.

Ms PF has 9 years of Math tuition experience. She has a Bachelor’s in Mathematical and Computer Sciences (Double Major) from NTU. Ms PF was an MOE contract teacher for 2 years. Her home tuition students attended Paya Lebar Methodist Girls’ School (Primary), St Andrew’s Junior School, Hillgrove Secondary School, Meridian Secondary School, Anglo-Chinese Junior College, River Valley High School.

Mr JN has 6 years of Math tuition experience. He is NIE-trained, and taught at MOE schools for 5 years. Mr JN has a Bachelor’s in Applied Mathematics from NUS (Honours). Mr JN’s private tuition students attended St Joseph’s Institution, Holy Innocents’ High School, Geylang Methodist School (Secondary), Yusof Ishak Secondary School, Woodlands Ring Secondary School, and Kuo Chuan Presbyterian Secondary School.

Mr SSK has 11 years of Math tuition experience. He has a Master’s in Applied Mathematics from Princeton University. Mr SSK’s Bachelor’s in Mathematical Sciences was from NTU (First Class Honours). Mr SSK’s private tuition students attended St Anthony’s Canossian Secondary School, Nan Chiau High School, Dunman High School, Anderson Serangoon Junior College, Hwa Chong Institution, and River Valley High School.

Ms YEP has 10 years of Math tuition experience. She is NIE-trained and taught at MOE schools for 7 years. Ms YEP has a Bachelor’s in Mathematical Sciences from NTU (Honours). Her private tuition students attended Gan Eng Seng Primary School, Xinghua Primary School, Anglo-Chinese School (Primary), Kong Hwa School, Ngee Ann Primary School, and St Joseph’s Institution Junior.

Ms WT has 5 years of Math tuition experience. She has a Master’s in Statistics from the University of Michigan. Ms WT’s Bachelor’s in Mathematics was from NUS (First Class Honours). Ms WT taught at a leading tuition centre for 6 years. Her home tuition students attended Singapore Chinese Girls’ Primary School, Red Swastika School, River Valley High School Integrated Programme, Catholic High School Integrated Programme, St Andrew’s Junior College, and Raffles Institution.

Mr MYH has 4 years of Math tuition experience. He has a Bachelor’s in Mathematical Sciences from NTU. Mr MYH taught at a tuition centre for 3 years. His private tuition students attended Waterway Primary School, CHIJ Primary (Toa Payoh) Primary, Queenstown Secondary School, Presbyterian High School, Jurong Pioneer Junior College, and Victoria Junior College.

Mr TTS has 2 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS (2^{nd} Upper Class Honours). Mr TTS’s private tuition students attended Si Ling Primary School, Raffles Girls’ Primary School, Northland Secondary School, Catholic High School Integrated Programme, Anglo-Chinese Junior College, and Raffles Institution.

Ms RC has 7 years of Math tuition experience. She is NIE-trained, and taught at MOE schools for 9 years. Ms YRX has a Bachelor’s in Quantitative Finance from NUS (2^{nd} Upper Class Honours). Ms RC’s private tuition students attended CHIJ St Joseph’s Convent, Anglo-Chinese School (Barker Road), Jurong West Secondary School, Changkat Changi Secondary School, Boon Lay Secondary School, and Hwa Chong Institution Integrated Programme.

Ms CW has 10 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS. Ms CW’s private tuition students attended Anglo-Chinese School (Primary), Red Swastika School, St Margaret’s Primary School, Beatty Secondary School, Jurong West Secondary School, and Tanjong Katong Girls’ School.

Ms RH has 8 years of Math tuition experience. She was an MOE contract teacher for 2 years. Ms RH has a Bachelor’s in Mathematics from NTU (First Class Honours). Her home tuition students attended Nan Chiau Primary School, Red Swastika School, Catholic High School Integrated Programme, NUS High School of Mathematics and Science, Anglo-Chinese Junior College, and Eunoia Junior College.

Mr KTS has 15 years of Math tuition experience. He is NIE-trained and taught at MOE schools for 9 years. Mr KTS has a Bachelor’s in Engineering Math from NTU (Honours). His home tuition students attended Ai Tong School, Maha Bodhi School, Anglo-Chinese School (Independent) δ IB Programme, and Hwa Chong Institution Integrated Programme.

## Every Year, We Help Over 30,000 Students Achieve Their Academic Goals

## Your Math Tuition Teacher Will Clearly Explain To You:

- Ratio and proportion
- Ratios involving rational numbers
- Writing a ratio in its simplest form
- Map scales (distance and area)
- Direct and inverse proportion
- Expressing one quantity as a percentage of another
- Comparing two quantities by percentage
- Percentages greater than 100%

- Increasing/decreasing a quantity by a given percentage
- Reverse percentages
- Average rate and average speed
- Conversion of units (e.g. km/h to m/s)
- Using letters to represent numbers
- Interpreting notations
- Evaluation of algebraic expressions and formulae
- Translation of simple real-world situations into algebraic expressions

- Increasing/decreasing a quantity by a given percentage
- Reverse percentages
- Average rate and average speed
- Conversion of units (e.g. km/h to m/s)
- Using letters to represent numbers
- Interpreting notations
- Evaluation of algebraic expressions and formulae
- Translation of simple real-world situations into algebraic expressions

- Finding the value of an unknown quantity in a given formula Factorisation of quadratic expressions
- Multiplication and division of simple algebraic fractions
- Addition and subtraction of algebraic fractions with linear or quadratic denominator
- Cartesian coordinates in two dimensions
- Graph of a set of ordered pairs as a representation of a relationship between two variables

- Linear functions and quadratic functions
- Graphs of linear functions
- The gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
- Graphs of quadratic functions and their properties:
- Positive or negative coefficient of x2

- Maximum and minimum points
- Symmetry
- Sketching the graphs of quadratic functions
- Positive integers
- Estimation of the gradient of a curve by drawing a tangent
- Solving linear equations in one variable
- Solving simple fractional equations that can be reduced to linear equations
- Substitution and elimination methods

- Problems involving the calculation of the sum and product (where appropriate) of two matrices
- Interpreting and analysing data from tables and graphs, including distance– time and speed–time graphs
- Interpreting the solution in the context of the problem
- Properties of triangles, special quadrilaterals and regular polygons (pentagon, hexagon, octagon and decagon), including symmetry properties
- Classifying special quadrilaterals on the basis of their properties

- Pythagoras’ theorem
- Determining whether a triangle is right-angled given the lengths of three sides
- Use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles
- Extending sine and cosine to obtuse angles
- Problems in two and three dimensions including those involving angles of elevation and depression and bearings

- Area of parallelogram and trapezium
- Perimeter and area of composite plane figures
- Volume and surface area of cube, cuboid, prism, cylinder, pyramid, cone and sphere
- Volume and surface area of composite solids
- Arc length, sector area and area of a segment of a circle
- Radian measure of angle (including conversion between radians and degrees)

- Position vectors, displacement vectors and direction vectors
- Magnitude of a vector
- Collinearity
- Ratio theorem in geometrical applications
- Scalar and vector products in vectors
- Calculation of the magnitude of a vector and the angle between two vectors
- Vector and cartesian equations of lines and planes
- Foot of the perpendicular and distance from a point to a line or to a plane

- Extension of the number system from real numbers to complex numbers
- Complex roots of quadratic equations
- Conjugate of a complex number
- Conjugate roots of a polynomial equation with real coefficients
- Representation of complex numbers in the Argand diagram
- Calculation of modulus (r) and argument (θ) of a complex number
- Multiplication and division of two complex numbers expressed in polar form
- Differentiation of simple functions defined implicitly or parametrically

- Determining the nature of the stationary points (local maximum and minimum points and points of inflexion) analytically, in simple cases, using
- the first derivative test or the second derivative test
- Locating maximum and minimum points using a graphing calculator
- Equations of tangents and normals to curves, including cases where the curve is defined implicitly or parametrically
- Local maxima and minima problems
- Connected rates of change problems
- Derivation of the first few terms of the Maclaurin series
- Repeated differentiation
- Repeated implicit differentiation
- Definite integral as a limit of sum
- Definite integral as the area under a curve
- Area of a region bounded by a curve and lines parallel to the coordinate axes, between a curve and a line, or between two curves
- Area under a curve defined parametrically

- Addition and multiplication principles for counting
- Concepts of permutation and combination
- Addition and multiplication of probabilities
- Use of tables of outcomes, Venn diagrams, tree diagrams, and permutations and combinations techniques to calculate probabilities
- Calculation of conditional probabilities in simple cases

- Discrete random variables, probability distributions, expectations and variances
- Binomial distribution B(n, p) as an example of a discrete probability distribution and use of B(n, p) as a probability model, including
- conditions under which the binomial distribution is a suitable model
- Mean and variance of binomial distribution (without proof)
- Normal distribution as an example of a continuous probability model and its mean and variance

- Probability model
- Standard normal distribution
- Symmetry of the normal curve and its properties
- Population, random and non-random samples
- Sample mean X as a random variable
- Distribution of sample means from a normal population
- Central Limit Theorem to treat sample means as having normal distribution when the sample size is sufficiently large