yooooo
When it comes to probability unit, what are some of the hardest types of questions we might get. (I have sac for probability coming up)
Also are there any general things that one should look out for/ be careful of (e.g whether or not a boundary is inclusive when doing binomial distribution)
thanks!
Just to quick question, has your school actually completed Unit 3 Methods already? Or, is your school completing VCE in the northern-hemisphere timetable? If not, I'm quite surprised that you're doing a probability SAC this early considering the study design says it must be done in Unit 4.
Nonetheless, here is some general advice regarding Area of Study 4.
1) Make sure you answer the question fully and give your answer in the required form. This sounds like a 'no-brainer', but in fact, students incorrectly reading questions is very common. The most common mistake is not giving your answer in the required form, especially in probability. If the question states to give your answer as a percentage correct to two decimal places, then you will
only get the answer mark if you do this.
2) Inequality sign usage. You mentioned this before: given any
discrete random varible \(X\), in general, \(\text{Pr}(X<k)\neq\text{Pr}(X\leq k)\). Also, it's important to understand what your calculator is doing in certain calculations. A common mistake is thinking that \(\texttt{binomCdf(n,p,a,b)}\) corresponds to \(\text{Pr}(a<X<b)\), where \(X\sim \text{Bi}(n,p)\). (Clearly inequalities are less important to continuous random variables since given a continuous random variable \(Y\), we have \(\text{Pr}(Y=k)\equiv 0\)).
3) Notation and communication. It is super important that you are using the correct terminology and notation in your responses. It is too often where students use calculator notation to communicate their answers. This is wrong. Further, there are many students that confuse \(\hat{P}\) with \(\hat{p}\) and similar ideas.
To be honest, I could go on and on forever, but I would be repeating mostly what has been said in VCAA exam reports. The best way to learn about the common errors students make is to either make them yourself (and not do them again), and read about them in the
examination reports.