
Free Course

XSIQ

23 Hours

Assessment

Certification

Academic  Secondary  Level 1

50 Pts
Mathematics UpperSecondary 4  Distributions and Integration

Description

Outcome

Certification

The second part of our intermediate math course continues our maths suite of courses. It covers binomial, normal and hypergeometric distribution, discrete random variables, and integration. This course is ideal for students preparing for an exam, or for those wanting to refresh their knowledge of mathematics.

On completion of this course you will understand the meaning of random variables and be able to calculate the dicrete probability distribution of a set of random variables, continuous random variables and normal distribution.
You will gain a good knowledge of binomial probability function, distribution, hypergeometric distribution, rules of integration and intergration applications.
This course will help you to understand these calculations in an easy, stepbystep process. 
All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.
Having an official Alison document is a great way to celebrate and share your success. It is: Ideal to include with CVs, job applications and portfolios
 A way to show your ability to learn and achieve high results
Modules List( 8 )

Module
1 Discrete random variables
Discrete random variables This free online course covers topics related to random variables and discrete probability distribution. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Random variables
Start Topic

Discrete probability distribution
Start Topic

The mean and variance of a discrete random variable
Start Topic

Standard deviation as a measure of spread
Start Topic


Module
2 Normal distribution
Normal distribution This free online course covers topics related to random variables and the normal distribution . The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

The normal curve
Start Topic

Continuous random variables and the normal distribution
Start Topic

Calculation of probabilities for a normal distribution
Start Topic

Approximating the binomial distribution with normal distribution
Start Topic


Module
3 Binomial distribution
Binomial distributionThis free online course covers topics related to the binomial distribution and the binomial probability function .The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Binomial probability function and distribution
Start Topic

The number of successes in a given number
of trials
Start Topic

The effect of changing the parameter p
Start Topic

The effect of changing the parameter n
Start Topic

The mean and variance of a binomial random variable
Start Topic


Module
4 Hypergeometric distribution
Hypergeometric distributionThis free online course covers topics related to the hypergeometric distribution and calculating the mean and variance of hypergeometric distributions.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Sampling without replacement
Start Topic

The mean of a hypergeometric random variable
Start Topic

The variance of a hypergeometric
random variable
Start Topic

The mean and variance of a hypergeometric
random variable example
Start Topic

The mean and variance of a hypergeometric random variable example 2
Start Topic

The formula for calculating probabilities
Start Topic

Calculating probabilities
Start Topic

Relationship between hypergeometric and binomial
distributions
Start Topic


Module
5 Rules of integration
Rules of integration This free online course covers rules for integrating functions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Antidifferentiation
Start Topic

Antiderivatives of basic functions
Start Topic

Finding specific functions based on given information
Start Topic

Indefinite integral
Start Topic

Using related derivatives to find an integral
Start Topic


Module
6 Integration applications
Integration applications This free online course covers topics related to integration. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Introduction
Start Topic

Approximating an area
Start Topic

Definite integrals
Start Topic

Evaluating a definite integral
Start Topic


Module
7 Glossary
Glossary This free online course covers is a glossary of mathematical terms. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Glossary
Start Topic


Assessment