• Mathematical Methods
  • Year 12

Discrete Random Variables

approx. 8 hrs

5 topics

22 concepts

Become proficient in working with Discrete Random Variables and achieve success in your examinations.

Available in
NT QLD SA TAS VIC WA

Overview

The Year 12 Discrete Random Variables program addresses outcomes from the Statistics and Probability strand in the Australian curriculum. Students studying Year 12 Discrete Random Variables will extend their knowledge of probability by introducing the concept of the probability distribution for a discrete random variable. They also attain proficient skills to calculate and interpret the expected value, variance and standard deviation for a discrete random variable.

Topics & Concepts We Cover

This learning program is made up of the following 5 topics, broken down into 22 concepts.

  • Mean, Variance and SD for Binomial Probability Distribution 4 concepts

    1. Find the expected value of a binomial random variable using parameters

    2. Find the variance of a binomial random variable using parameters

    3. Find the standard deviation of a binomial random variable using parameters

    4. Interpret the standard deviation of a binomial probability distribution

  • Binomial Probability Distribution 7 concepts

    1. Use binomial probability distribution to solve problems involving conditional probability

    2. Construct the graph of a binomial probability distribution for n trials

    3. Describe the shape of a binomial probability distribution

    4. Compare two binomial probability distributions

    5. Identify contexts suitable for modelling by Bernoulli/binomial random variables

    6. Write down a general rule for a given binomial probability distribution

    7. Find the probability of a binomial probability distribution

  • Discrete Probability Distribution 4 concepts

    1. Determine whether a random variable is discrete or continuous

    2. Represent a discrete probability distribution as a table or graph

    3. Conditions of a discrete probability function

    4. Calculate probabilities from a discrete probability distribution

  • Mean, Variance and SD for Discrete Probability Distribution 5 concepts

    1. Calculate the expected value or mean of a discrete random variable

    2. Find the expected value of a discrete probability function, including special results for linear functions

    3. Find the variance of a discrete random variable, including special results for linear functions

    4. Find the standard deviation of a discrete random variable

    5. Interpret the standard deviation of a discrete probability distribution

  • Binomial Probability Distribution 2 concepts

    1. The probabilities of success and failure are to be calculated

    2. The probabilities of success and failure are given

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Discrete Random Variables

Reporting

  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

Ready to start this program?

Simply pick a time that works for you

Add your payment details securely online

We'll book in your first session and match you to an expert tutor

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

Not sure if this program is right for you?

Ask us, we'll help you find the right program.

Enquire now