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Mathematics Upper-Secondary 4 - Distributions and Integration

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Mathematics Upper-Secondary 4 - Distributions and Integration
  • Description
  • Outcome
  • Certification
  • The second part of our intermediate math course continues our free online 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, step-by-step 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 share your success. Plus it’s:

    • Ideal for including in CVs, job applications and portfolios
    • An indication of your ability to learn and achieve high results
    • An incentive to continue to empower yourself through learning
    • A tangible way of supporting the Alison mission to empower people everywhere through education.

Modules List( 8 )
  • Discrete random variables
    • Random variables
    • Discrete probability distribution
    • The mean and variance of a discrete random variable
    • Standard deviation as a measure of spread
  • Normal distribution
    • The normal curve
    • Continuous random variables and the normal distribution
    • Calculation of probabilities for a normal distribution
    • Approximating the binomial distribution with normal distribution
  • Binomial distribution
    • Binomial probability function and distribution
    • The number of successes in a given number of trials
    • The effect of changing the parameter p
    • The effect of changing the parameter n
    • The mean and variance of a binomial random variable
  • Hypergeometric distribution
    • Sampling without replacement
    • The mean of a hypergeometric random variable
    • The variance of a hypergeometric random variable
    • The mean and variance of a hypergeometric random variable example
    • The mean and variance of a hypergeometric random variable example 2
    • The formula for calculating probabilities
    • Calculating probabilities
    • Relationship between hypergeometric and binomial distributions
  • Rules of integration
    • Antidifferentiation
    • Antiderivatives of basic functions
    • Finding specific functions based on given information
    • Indefinite integral
    • Using related derivatives to find an integral
  • Integration applications
    • Introduction
    • Approximating an area
    • Definite integrals
    • Evaluating a definite integral
  • Glossary
    • Glossary
  • Assessment
    • Intermediate Mathematics 2 Assessment
Topics List ( 4 )
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.
Topics List ( 4 )
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.
Topics List ( 5 )
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.
Topics List ( 8 )
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.
Topics List ( 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.
Topics List ( 4 )
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.
Topics List ( 1 )
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.
Topics List ( 1 )
Assessment
Assessment
Course Features
  • Duration

    2-3 Hours

  • Publisher

    XSIQ

  • Video

    Yes

  • Audio

    Yes

  • Assessment

    Yes

  • Certification

    Yes

  • Price

    Free

  • Reward

    50 Pts

  • Responsive

    No

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