Rating 4.5 out of 5 (8 ratings in Udemy)
What you'll learn- Understand the basics of probability and be able to draw a sample space
- Draw tree diagrams
- Draw Karnaugh maps
- Use the addition law of probability
- Distinguish between mutually exclusive events and independent events
- Calculate conditional probabilities
- Count using the addition and multiplication principles
- Count using permutations (nPr)
- Count using combinations (nCr)
- Discrete random variables: Draw a probability distribution …
Rating 4.5 out of 5 (8 ratings in Udemy)
What you'll learn- Understand the basics of probability and be able to draw a sample space
- Draw tree diagrams
- Draw Karnaugh maps
- Use the addition law of probability
- Distinguish between mutually exclusive events and independent events
- Calculate conditional probabilities
- Count using the addition and multiplication principles
- Count using permutations (nPr)
- Count using combinations (nCr)
- Discrete random variables: Draw a probability distribution table; calculate probabilities; calculate the mean/expected value, median, mode, variance and standard deviation (including linear transformations on the mean and variance)
- Binomial distribution: Calculate probabilities; calculate the mean/expected value, variance and standard deviation
- Continuous random variables: Draw the graph of a probability density function (pdf); acknowledge that the area beneath a pdf is 1; calculate probabilities, calculate the mean/expected value, median, mode, variance and standard deviation
- Normal distribution: Calculate probabilities (including by symmetry of the normal distribution graph without the aid of a calculator); appreciate the standard normal distribution; calculate using the inverse normal distribution
- Statistical inference: Distinguish between population and sample size/proportion; describe the distribution of p̂ and calculate probabilities associated with it; write confidence intervals
- MOREOVER, students at a unit 3/4 level will also learn how to approach worded problems comprised of multiple parts, and learn how to use a graphics calculator in relation to probability calculations.
DescriptionAfter going through this course, you will be able to understand how probability works at an Australian VCE Maths Methods Units 1-4 level, and apply such knowledge on exam questions. Each lecture includes many clearly annotated diagrams to make mathematical concepts easier to understand, and will be followed by a quiz to test your understanding.
The lectures are designed to cater for both unit 1/2 students and unit 3/4 students, with the unit 1/2 and unit 3/4 content indicated at the beginning of each ‘section’ of this course. Unit 1/2 students only need to watch the unit 1/2 content of each lecture, although you may go on to watch the unit 3/4 content if you want to get a head start. Unit 3/4 students may find the unit 1/2 content a good revision for them.
You are encouraged to go through the lectures in order since the content from the earlier lectures is often required in the later lectures.
